{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# ignore this\n",
    "%load_ext music21.ipython21"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# User's Guide, Chapter 20: Examples 2\n",
    "\n",
    "Since the last set of example usages of `music21` in :ref:`Chapter 10 <usersGuide_10_examples1>`, we have covered the deeper features of the :class:`~music21.base.Music21Object`, looked at :class:`~music21.key.KeySignature` (and :class:`~music21.key.Key`) and :class:`~music21.meter.TimeSignature` objects, and understood how :class:`~music21.interval.Interval` objects are modeled.  This chapter gives us a chance to put some of our knowledge together by analyzing pieces and repertories of music using this information.\n",
    "\n",
    "## Picardy-less Bach endings\n",
    "\n",
    "J.S. Bach usually ends pieces in minor with a major chord, generally called a \"Picardy third,\" but does he ever end pieces in minor?  Let's look through the chorales to find out.  We'll start by using the `corpus.search` method to get all the pieces by Bach:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<music21.metadata.bundles.MetadataBundle {564 entries}>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from music21 import *\n",
    "\n",
    "corpus.search('bach')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Hmmm... that's too many pieces -- there are actually several examples in the corpus that are reductions of Bach pieces.  So, since I happen to know that all the Bach pieces are `.xml` or compressed `.xml (.mxl)` files, we can limit just to those:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<music21.metadata.bundles.MetadataBundle {412 entries}>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "corpus.search('bach', fileExtensions='xml')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's closer to the exact number of Bach chorales, so we'll work with it.  In a few chapters, we'll show some neat ways to work with the chorales as a repository, but for now, we'll go with that.\n",
    "\n",
    "But before we work on a whole repertory, let's work with a single piece, the first one from the search, which should be the Chorale for Cantata 1:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<music21.metadata.bundles.MetadataEntry 'bach_bwv1_6_mxl'>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "chorales = corpus.search('bach', fileExtensions='xml')\n",
    "chorales[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To review, the `.parse()` method converts a MetadataEntry to an actual `Score` object:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+IL9f5wJ/ynn+ZTQC+9NxcNNmeSdAFtJIQ9KLvBQzeXnC1bl3AHsm9/+d6LWeNU6kQMob3PhI4OmDa5okSZIkSZJUr48QAbLmaWGP5f2uqZy8NC2del1OuzZk7ncSuD8hp4x0Wkb0Jh+EV7SodwOwZED1Zj23oP5jB1DXDGBWl8vMBC5jcvu+2GMbZhGpgbJlrQXu10UZvbwPgIMo57Mu+s4O6rKckwrK6eazgBizIN3mzqV1R6fXF9R5E7B5l/UCfKKgvHk9lCVJkqQm9mCXJEkaPvsA+2Ue3wi8qo/yzmBy+pc03cRq4GMdlPEFJqazyDqF/AFJy3AGcFfBaz8Grh5QvVlzKqhjEXEVwa3ASuDnwC4dLrseOD7n+WfS2wmIhxFpSbLOBK7tYNl+3geUlwalqJy5JZXTjY2J7WeMGDD4JbQeDPhjwG9znt8C+GgP9ZtaRpIkSZIkSUOvqAd70WCRRcaIgSTT5dcDh5TQvi8VtO9TXZTxo5zl1wHbltC+Vop64D5lwPWmTiqo/0UtlunGDOAXOeXfCmzTRTmfyynjjB7ac3pTGTcAW3WwXBnv40k5y/fSgz3Nb948PbvLcj5UUE43Jy5OzSz3/zpcZg/ipFhe3Ud2UTfAVwvK6aU3vCRJkiRJkjQQRQH2x3ZZztubln9lSe17VE7b1gM7dlHGMTllfLuk9rWye06919PfIJ7dSHvvN09vK6n8JxeUP07+QK9FFgN/yCnjWV2UsRuxXqTLbgAe3eGyZbyPFxcs/5oOl081b0fp9MYuyyn67vdvtVDG0Zll/kp3V0OcVFD3rXQX4D+voJwHdlGGJEmSJEmSNFAvJT+I9Q/gIR0sPxd4T2a5NUSKj7KMAX9vatuXuyxjDnBzUxlPLLGNrTT3jH5nRfXOI4L5ed9tWScX3lFQ/jj5qUJa2YrJ3/NdwGM6WHYhcHlmuQ3Ay7uou4z3cUrB8p/uoh0Q6YPyyvl1F2WMkZ/bfpwY16Cd+wN3ZJZ5Rhd1A2zJxJMd2elCIvVMO0uINFB5ZRzXZXskSZIkSZKkgZkJfJhImdIcyFpDBLOPBDajkRN5jEid8Urgisz8yygnLUyzNzW160E9lPFfmeWvZHCDmzbL9p5fB2xfQZ17At8lPziZDVL2+xm0Gsj1f3sobwmTe7KvJXpvb1SwzC7AxZn57yU+8270+z4OSdqZt/xqOus1PgY8vUU7xomTYe3GoppF8WCj48B1RAC9yG7EdpxdZkkH7c9aSHGamHFiIORWg63uQn7KnuzvzF5dtkmSJEmSJEkaqF2AbxC9f4sCW/cSea2be5auBN4KzB9Q2zah0aO2197XO9F4b930bu7XbGB5Um+3Pe87dSTwfiJffTbY3G66GfgaMQDl24hUKd24L5H2I6/sTnqe55kD/CeTA7QrgP8G3gA8D/h34HtM7Cl9NrB3D3X28j5eQeTY/2XBcs3Tr5L5m1MnvRr4H4p7nDdPlxG95d/KxFRDryO+y2s6KOMO4CtM/M7fQmxbeSfa/kqMeXB0wWeRejTweSZfiVB04uF0Gr3RjyFy8f+G4t7vzdMFyWd3AnFiQZIkSV3wAEqSJKlcfyOCXJsRQcXHEwGzbWn0XJ9DBCMBVgE/Bb4FfJ8IUA7KHUQu7DcDJ/ZYxj+IgOxDgNPKaVZH1hKB4ROADwyojm2ItBt3Er2Df9fl8nOBrYFbulxuOTFg65k0eiTfSeQd/1mXZaXWEClbvkwMEPpsYClwH6IHd7N7iPXwNBq99rvVy/vYnvhPckUydWIWk3uDb0ucuPpNMnVqO+IKhLXJ4/QkwQ+7KCP7nW9DfA6nFMw7g8a2X2Qz4vs7K5k6kQ4iuxURWL8smbpxPxq/UZIkSeqQB1CSJEnVmAVsTgTANiECcsuB2+gtmNmrOcBBROqIXm1BBBX/WEqLOjcLOJj+2j7M5gP7EN/RJURwuixjRK/0JUQweisiN/uNRLqT84mTPWUY5PuQJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSprOxuhsgSZIkSZIkSZpWxoA5wCJgYdPtX4Gr62tadwywS5IkSZIkSZJamQlsxORgeDe3zc/NKqjrJcApA3ofpSt6E5IkSZIkSZKk0TMGzKXzQHcntwsqfQcjxAC7JEmSJEmSJNVnJr0Hvotem1npOyjXZnU3oBsG2CVJkiRJkiSpM2PAPMrpFZ7ezq/0HQy/3epuQDcMsKsKmwObAFfW3RBJkiRJkiRNK7PoPgDe7rVR7h0+CkZq3FAD7Bq0Q4GvEnma9gOuqLc5kiRJkiRJGlJjRG/uMnqFp/fnVfoONO0YYNcgvYAY8Tddz74OPARYVVuLJEmSJEmSNGizgGfSW8/xGTW0V9VaC9wFrEym9P7mwN7A8vqa1j0D7BqUZwKfZ+KP4u7AicBbammRJEmSJEmSqjAPOKPuRqg02SB4822r14rmWVNQz/HAp4G/D+h9DIQBdg3CfsAXyD/j+AbgdOAvlbZIkiRJkiRJmvrWEznirwdW0D4I3i5AvgrYUOk7GDEG2FW2TYic63MKXp8DvBc4qrIWSZIkSZIkqUojNUhljTbQWw/wotdWEj3AXww8Dri8urcyfRlgV9lOAnZoM8+RwD7ApQNvjSRJ0tR3NbBl3Y2YYi4EDq67EZIkjbAFdTdgQFZRToqU9HY1MF7pO1DpDLCrTDsDr+xgvjEiD/vTB9scSZKkaWEukedU5Sm6GlOSJI2OdXTfAzy9/RiwDbBXZp6VRPoVaQID7CrTW4DZbea5HVhMpIjZhsgHJUmSpN61O/5S9zxhIUlS9e6m/xQpzQNp9to7/L3Jsn/tcXlNIwbYVZZtgGe3eH0tcfbvXcCfgfsCLyVSykiSJKl3m9TdgCmoXcpDSZrOxoCtgB2T6f7Ef3179iprXXK7DPgo7QPkd+NAmhpRBthVlmdRfCnt9cDTgPOSx2cBzwFegAF2SZKkfjmIWPlm1N0ASarZXGAJETzfMee2Ob/2uyttnUbBvcnt1cBH6myINGgG2FWWowqe/ytwCLA889yFRIB9KfBQ4PxBNkySJEmSJE0wBmxKcQB9OzyBK0kdMcCuMswDDsx5fhlwKBOD6wCXZe4/AwPskiRJ/dhA5AhdUVF9WyR1VlnfeuDWiurbksZl7Zoangr8F/Aw4Iaa21KVMeBc4r/Wm2tui+oziwiU5wXQ70+5KcYMxkuatgywqwx7AjObnlsLPJ38QUyvztx//KAaJUmSNE2sAFYTVwdW4XaiA8UDKqpvNfAXYJ+K6nNAs6lnf2L72JXpE2CfCTyC4jSemjoWURxAX0J1cZ+ZRBxAkqYdA+wqw645z72LSAWTJ9v7aFdgW+C6shslSZIkSdKImwFsTXEqly3qa5okCQywqxybNj2+HvhAi/nvaXp8EPDVUlskSZIkSdJomA/sQH4AfQciLaskaUgZYFcZFjU9fh+wqsX885se71FucyRJkqaVRcBC4PSK6ltA9Kasqr5ZwPYV1gdxhaUklWWM6GneHDxP729TX9N6sp5I/XoVsBcxdsWGWlskSTUywK4yZAczWQN8sc38Gzc93q3c5kiSJE0r84gUAs+rsM7ZFde3acX1La6wLklTwxwi53leL/QdiROho+RO4EoiiN58ew2NwaAvwAC7pGnOALvKkN2R/oyJOdbzLG16vFWprZEkSZIkqXybUjyg6HbEyc5RMQ5cS34A/Urif/14ba2TpBFigF1lyI4U/psO5t+z6fEmJbZFmuoOJnrVXZ1Mt9fbHEmSNI2MEb1wNydSQi6vtzlS6WYC96N4QNHm8ceG3SqKA+hXA6tLqCM9qTDWci5JmsIMsKsM2Z3yxR3Mf0DTY9dDqXPPBl6WeXwHjWD7spz7t2DPE0mSNFk2WL45sFnmfvPj7P3ZyfJvB06qtMXS4J0IvK3uRnTpRiJgvho4FPgu8H4ikL6c/v8LjBG/AXm543ckeu5DnJxYm1eAJE11BjZVhrsz929sM+8M4AlNz91RbnOkaWUTYmChvQpev4fWAfjlmC9RkqRR1xwsbxUgzwuWSxpea4F/kt8T/Soa/8cfTwTYL6OzK8uzZhODSecF0Hdk8jhqkqQMA+zTw3HEWeV/MZjLOHfJ3N+XuKSuyAOJ0dOzZgOHl90oDaVtgcOALxMD4g6zecT6CnARw9MLvDnFUjsLiIGEiwYTXgfcDNxUMMqh/f4AACAASURBVK0A1vfUUkmaHhYBDyBOVv6+pjZ4WX75ZlHf8ekYMJ9YtzbOmRYV3K/6v92+jM4x/P2T24cyegNN9mpmcruY0fmeII515wN/JQbZrNq+NdQJcBfxXz2dbiA6r91AHI/ndYhZkkypBye3O5P/nW8EbA3ct2namviP3u++5IkM/388VWtecrsZo/U7lFpEdBIdxbZvn9w+ksnjIA67NA6zF8P/2c8l6ezowfj0cB2wDTGASbse5r1YRCPI/ida53HLy1t3I9E2TX3bEgdxfyMOIofZPGCP5P5vGZ4TknvQOFCpwjjRa2YNcG9y23x/WE4+SFIdFgK7EicjL62pDXsnt1dVVN9OxAnaZRXVtzOxv7m6ovp2IfIWX1FBXWPADsRxRnYahf9pdxHHdKNglI5ByzJGBIvvBv5Sc1u6sTsRYL+Aeq6w2IX4fzsI6fHzvTlTGR1aNiZ+L1cAK4nAT3aaWbxoKS7BK2M10QzgQYzW/iJrd+K/dyepkIfNEuJKtSuIY5pRsgVxgiBNeTvM5tJ9J0iNsF8QAbA3Dqj8nZPyx4H9W8y3lAjUjTdNzx1QuzR8Tia+88PqbkgHdqexji6ouS1Zf2LyNlTntIE4iXce8CXgvcDxxCWquzFcn50kDcLBxO/hyhrbsJzqgt0QA2xXGbBbTbUnL8aJ4F4V5lH/vrzX6ZzyP46BSY9BD6m5HVWaRbXrclkuI9r9gprqP4fet4m7iN+qbwIfII6JH0tcQVHFyYIT+mh7GVOVnYA0GhYyevuLrMspZyDgOpxCfPajGPw9nmj7cXU3pAM7kfwGDkuPTI22a4gg2wziLNnvCuZ7J/m9gH89oHZBXAb3JuKSpK8OuC5pOhojrpDZhrjsOs/NFOeAvxrHYZAkSdJouI7JedDT21uIQIskaZoxwK4y3EsEy3YkLpHOsy/wnJznL2awPa6W0BgF/r4YYNfou5boXX8JceLofsTJrWG2RTI9pOD122kdgF+Bf1YkSVPToFM2lO12YgD1bYBba26LNAjrktsLiSs0swH0fzK6vVkHaT3xW+bxuqRpywC7yvIHIsCed/nJTOCz5OeS/MogG8XEXHZrB1yXVIV/JrcvJQZfnU3kFV1CpGFa0nR/e+rJX9mNxcm0d8Hrd9M6AH8j5nuUJI2mOvfRdxA9bm8hTmbf0uLxLURAfR2RBu5HwB+rb7I0cL8GHg28A/h+zW0ZFhuAfxEnGfJ67v8QOIBy8shL0kgywK6y/BY4Cjgw57XX0hjRPOsu4HODbBQTd/KOaK6paC0RbF4GnJvz+kzi6o1s0D29Te8Pe77EjYhe+7sXvH4vkapqGfkB+OvwgF+SNLXdSffBcjufSErdzeTAeXr/avwvLUktGWBXWdLBc5YQwbzlyeO9gPcULPNp4jLTQTLAruluPRFgTgcibTZGpG9ZyuTe7+ntosE3sy9zicGWdy54fR2RWmcZ+QH4f+HvgyRpeNxF98Fy92OS2rmO/AD6VcSYSaZ4kaQeGWBXWS4g8tHNAx5JDCg6H/gyEfxqtpziwHuZTBEjtTYO3JRMeQMUjxHpW5ZSnIbmPoNvZl9mEW1dWvD6OHA9EwPv6W06rRpsEyVJ01R6fHoRcCQRQL+3vuZIGmFp/vi/E2lbsgH0ZXg8K0kDY4BdZbkXOB94FPBYIsD+OYpTOryOyPs4aNm8zPbskbo3DtyWTJcUzLOI4t7vS4CtBt3IPo0Reey3BR5WMM9NtA7A3znoRkqSpqS0M8jdxMleSerVpcnt14AT6myIJE03BthVpp/TCLC/HnhOwXzfIwLwVTBFjDR4dwGXJ1Oe+cRgq18HHgi8H7gfjUD8NuQPgjxMtkym/Qpev43iAPyy5HUvu5UkSZIkaYoxwK4y/Qh4NxE4+2DBPDcDx1XWIlPESMNgFfBXIkcswNuIlFKpOcTvxlLy09BsRwzWOsw2TaZ9Cl5fSesA/E0YgJckSZIkaeQYYFeZLgFuALYGZhTMcxwRSKqKPdil4beGxkBLeWYRvdyL0tBsT/5YD8NkIbBHMuVZDVxD/kCsy4jf1vX5i0qSJEmSpLoYYFeZtqR1L/EPA9+tqC0pA+zS6FtHBJ+vAX6V8/oMIs970SCsS4EFg29mX+YBuyRTnnXAvygOwF+LV+lIkiRJklQ5A+zTw9bJ7eOBxQOqYxbwXGKQwDzXEj003zWg+ovMydx/NNGLtG7ziUEhFyT31xIDW93E1O+henBy+0LgkBrb0YnNM/dPZHi+mzQH+MuJXs2jZIfk9iQiYDxItybTxcnjBcAmBdNihr8H/Czi89uh4PVxIhf+HS2mQX/m0nS1fXI7m+qPc1ILiRN1VdU/j9hPVlXfLOC+FdYHkbqsivrS/2M7VFRfGe6f3B7K6PyfTI9BXwwcVmdDKpReUVzVulyWrZLbxwM711B/uq48Dziwhvr7kW6bh1D97yXAO4ANFdY77DYlOiEuJNJdriTiInfW2aiKpfGYUdrHZW1J7OdGse0PTm5fTaRqHjatto99k3meQnSWG2abpndG5YBI/UlzF89nMAH2MeAJFAfX7yYGQN14AHW3k13H5zK4EwztbE70TN2OiYHbrLVED92LgFsqalfV0iDmQur7Ljq1cdP9YcmPnX6Gi4jc5qMk3R43oZ4TFquSaXnOa3OJz7R52ji5nVdRG3s1RrR1Y+J3ptnVwPcrbZE0faQn78eob982RgTTqqp/jDi+rPL9Vl3frIrqS4/Tq6qvDBslt/MYnTaP0jFoWdIA+yitW9DYJupav9Jjvo1qqr8f6bZZ9f/e9Bh/MQbY5wJ7AbsS/3nyLCOuyp0OgfbZye2o/Q6l0t+jUWx7enJjEcNzpXOn28eNyf0FDP9nX0ecU21sCWwxoLJ/QQQH3zig8j+VlJ833QM8ZED1dmJupi0vq6H+HYEvEQcaaTu+AxxBfOczgfsQZxdPAP5CBB5PJv68TjUnE5/BKPQc2p3GdzZM6UU+Q7Spzu2qV+cQbR/2YHWeFcB1xMnElxPr8peB84HrKf4NHJbJ4Lo0OAcT29nKGtuwnPhDUpXbiWOWqqwGLq2wvnHggorqmpfUd05F9ZXh8USbT6q5Hd1Ij0EPqbkdVZpFtetyWS4j2v2Cmuo/Kan/8Jrq70e6bVbd2/aCpN7p3oHzVcBtdHZsvpzh75lbhoWM3j4u63LiGGQUnUJ89nvW3ZBEN9vHHcntcbW0tDs7kbS73x/Ak4kAYiv/AN5Ko/fng4E3d1j2xW3nGm1PAF5KpHxIe3/fDFxIfGZV/pHo1euJYFOR44ke2XXJnkGvOgf7IcC3aZyZ20BcavilpvnSVBa/B95LfKbvJC6PfGEVDZXU1jhx5v9HBa/PI3qO5w3CuoS4dLZo8OcqzK+xbkmSJGmqWgycBhzZxTJbAf8FHD2IBklDpJftYyR7hfcbYL+XyDu5P/m9bf9BBBXn0UhlsCZ5fADRg7fZauA8Ip3GVA2wzwY+TeQAbLYF8ETgscTZ83dX16yuHQ58sM08dV+Kkk1DUWVbjgC+zsS8zl9gcnC92XriM/0j0dP9r8TJJknDbTXw92TKM5s4kVoUgN+exiWUg7DbAMuWJEmSpqPNgJ8BD+ph2cOJ4/+6YybSoPSzfcBg/x+Xrt8A+9uS6Qjgu02vfZToiduct/gy4MlEkP0s4GGZ1+4mggD/6rNdw+4k8oPrWelACpcx+bMdBg8AzqS4R+YaIufTEUQahbqkqVnGqK4H+07EZ9M8aOJnO1j2UcTVC2kw7N1Ej9k/lNY6SXVYS6RvWAacm/P6TGIAv6U0gu5Lm277Sa0zs/0skiRJkjq0gIhp7d3j8nOIFCq3ldYiaXj0u33AiI05V1aOrO8RubazeYq/SutBAVcT6TOyAfbfMPWD6/vQSJFzJhFAvZLovfgM4EQmBmZPIXo9DtNZzcVE7+qiyza+Q6Q7eQfRE38G9Q52spbYeTUH2GcSaRPKzJk6C/gKMZBE1u3Ab9ss+0Tis2veLt8PPK6U1kkaVuuJHO/XEfvCZmPEFU5LyQ++L6Ux0KIkSZKkwfoQ/QUPNzA9BjrV9FTG9tEuA8RQKXMQiluIIHH2cSfLtHo8Fb2RCOx+lomDbv6DCLb/hEiRk14KsQWwB8OTj30m0SN9l4LXLwCeRfRwfwdxSchDgN9V0rp8aW/6tcDWwGuApxAjF48RAa1PAB9gYkqZXjydGGeg2aW0PuE0m1gn8rbJxxD5m6/ts22SRtc4cFMy5f2ejgGbMrn3+y7EybthOkkrDcoM4kTTSuo9sT9V7AQ8kLi6Zi5wA3GMOtU7w0iShsMw74f2YWI8pxdX0H/8odkwf2aaPnainO2j6nEU+1JmgH1d0+NOfih6WWaULQCeBlxNBHnzXEQMdvEfmef2YXgC7O8mRifP8w8iJcwqor03EycIHke9AfY0sPRUond5cy/PbYnBRfcCnt1nXW8oeH55m+X2pzHQbbMx4BHUm2pH0nAbpzFg8iWZ5zcnfouHZR8iZc0hrvhaROybu7nNey69knJT4soxdW8x8FrgucSfo2bjwA+od9BmSdLU1el+6LXAVRW2q9nLSyjj1BLKgNH5zDR9dDOgaZGyto/KlBlgV3v7En8mTyYGiC3yPSYG2JtzedflEODfC167FXgCjasQxoGfE73ZDwPeOejGtZCe9XoRcVLnQ8D5wMOB12XmexbwU2KE415sTXzHeVa0WXazNq/ft/vmSJJUmjFgI7oLeLe7HamBi6aBVxHHa4tbzDNGDMo2jt+fJKlc3eyH9gMOJMY3qtpc4grRfiyjnADiqHxmml76SQ0D5W0flRq1APuOwHOIL2tvIgf4n4kBIH8GfL9guYXA0cDzk8ePBp5EDDT6COKSmVcRl83MIPLCH0MMxvph4ONEz+yjgYOJz+1i4O1M7CnYzu+BRxJpVFq5oenxP7uoY1BmEWlUxnJeGyfOlv6j6fmziKD1gUSvsnsG2cAWsqkRng18Pbn/DaJ353Mzr/8HvQfYl7Z4rd3gDM2fXbPmdUKSpFZmU06v8PR2I/KPATT6FhPHPt30NkrHhZAkqV+97Ie2Iq78P3oQDWrjGCKFa6/WAc8D7uqjjFH7zDS9bNXHsmVsH7UYpQD7i4GPEH/07gL+SAxQ+chkeg3wNeAVNHoLHwYcCxxF47Lh3wOvJ3oxp55MXD6/KZHCJdtb+D7A6cQXnLUdMYDnobQPmKdWAb/sYL5s/euIEwh1ewWRCz7Pe4Af5Tx/VnI7hziR8ZMBtKsTaQ/2v9MIrqc+y8QA+65EqpbreqhnaYvX2qU/uoI4SfSYnNduIi7pkiRNTWPEMU0ZvcLT22G5+q0OG2GKmE5tRhx/PKiHZReSP4i8JEmd6mc/dDgwD1hdaovaW9THsuuIToi/7qOMUfzMNL30un6VsX3UZlQC7B8gBgeF+KCfQiOIfgyRm3oWMcDkgUQu7TuIfNiPZWKeyAeT/0O0OfFnrHlFOCm5vS6pewciXzbEn+F3Ez3iy3RQ5v4PgBtLLr9bm9P4HJqdC7yt4LVlRI6vHYFHUV+APe3BfnnOa3/JeW4Leguw99uT6xjgFOIkT2oFsb6P3Nk7SZrCZlJu7/CFmNO6TKNyfFu3BURniF4v4x0jria9pd2MkiTl6Hc/NIeIVVxbWosG6w4iq8J3+yhjun1mGk0XER2Zu1HG9lGrQf4BORG4s808nVzOsi/R4xwiAP6kpnK/QQS6T08ebw+8nxix9gnEgf9FwM6ZZS4nego/EnhHMs8XiIE4300EM7N/dL9C9KC/J3n+BzQG+jyU8tOfvDBz/4MllturdxG9+5utIFKutOqdfTaNAHtd0p5Ved9RXg+/q3usZ36Py6XuJE4S7Q48lFgPf4q98CSpH2PEb32ZucP7/b2XhsGH6C9H5gY8RpEk9a6M/VCdnRFXE73BO3Eeke54WZ91jvpnpunhf4A30fnVHmVtH7UqM5fmlUQgtR9n0MiTnvotjR7j7wZOKFj2Yho908eJnuy/Sx5/lQhcQvyg7Ab8rUU7lgFLkvtfzyybOgr4Vubx7kQu+DI8Afhhcv9U4LgSyryGSGnz9+R+N+YTwd68deVy2v8435dILTNOfJfrics+1nXZjn7sT2zYy4E/Nb22ORN3ULcTaYR6sSNxhUOeq2mfZ3062InYti4hBsYdZhsRvyMQl+ANS+/SBxBpjC6k/UnMYbMvcbLubOK3eJQcTPx+/abuhnRpNtH2WxiOdGPdmEH8aZlJdAiYmXO/09fMHT61jRPb54xk+jWtB5Mv22LiCsn1wDkV1pv1COJ3tdPfqEU0jq97tZI4titLmiZpLrHNriF6M60mOmrcU3J9rTya2MdeWEFdM4j3dxvxf2YUbAbsQ4wTdVXNbclqtQ6lx6AXE5/1VFL0vu8lOoNVtS6X5QDi/ZxLtf8ZU+l/uj8welfopNvmMiI+U6ZW29d+RKfFXxD75E7MAx7eZ5vK3g91alviP9kyItd0q44XdxG/lTeXUG/2/2mvBvWZFa0fa4FDGK19XNaBxHs7u+6G9GA3YBvi+15ZQ/2bELHAqraPuswnxvEcaA/2j9E+gLY3EawusjkTD/5b/RD8N/CZ5P4YcTCRBtizvWv+TOvgOsDdmft5g0s293C+T5vyOjWPGFAVYiV7U0nlriAC7BfRCN536gXkByZ+R6OteeYRO9otk8djTNwZ3EUEnC8lvte7GZwlxB/Jq5g8gOnrmx5/jsjv34tjKA6wX0ac6JnunkF8Hz9h8smOYbMtjXX2y0wcLLdOLyTa9j2GYwDkbmxLBNjPYHg+z04dQPyBOK3mdnRrERFgv5bRa/tuwFvqboQGYh0xLs29Tbere5zWEn/o/4M4kD+DagdWfwARYF9HfdvZQ4jPodP6X1RCnd8BftxnGQuAxxFBlrwBscaJY8Vx4n/FaX3W16lHE3/2qqhvNhFgv7Gi+sqwFxHEu5SJnY7q0Ok6dCVxDPpjyusYVadO3nd6Yr2qdbksuxKBusuoJ3j6VOI/3VlEp6BRkm6bfyCu9O9Xp9vX7USA/XTajz2WOoj+A+xl7Id6cSix7z8L+BWwJ7Hebkp8JnfS6NxXZuDwmSWUUeZn1sn6cVlyf5T2cVkPIE4anFZzO3pxHBFg/zb1pQSaSXXbR122Igmwl+lK4sNKp056sz+vaZnTm14/uOn1w1qUtUXTvF/MvPbfmecv6qBdf8rM/9Gc13dvqqvfHUPqg0l5tyd1lCU9k/zGdjM2mUGs8ONN011MHIg1axbxB3dFznJF011EGppBXXL/SyavE9Do7ZW247Q+6/lPit/jyX2WPVWcTPtteVhkt/MFbeat0meINj2k7ob04Byi7Z1eSjlMbmE0L1nbnPjMv193Q3pwCJ3vR5wGO91FdDj4G3GV17nEOvUV4sT0h4mUe28CXk4MHv4UIkh5APF7uh1xYD2bwfl50t7FA6wjT3q8WkfvoNRyuvuN+jP9rRP/pL9B3gBeRfRo66S+DcSA8FUZBy6oqK55SX3nVFRfGR5PtPmkmtvRzTq0Mrk9pI6Glqyb9z3O6AWJLyPa/YKa6j8pqf/wmurvR7ptvquEsrpZz9Ykt9104Px4h2UPcj/Uq+OTNpSRbaAbf2B4PrNuf4eq2qeW7XJGd0DYU4jPfs+6GzLF7USyng/7IFC7NT1ulVLgZqL3UxqkbV522D2PGJR1DdETuso/EUV2JYIzzT5A/JFrtg2RUqfbszcLgbcSvZufSuMsZ1nSHOwzM89tCnyeRu/8nxB5+/tR5x9rSZpqBhmIncrWEQHxlQW37V47HngWcAQR8LuH0UvppPaW9LHsOuK4tdcB2BcTnRo6GYspNUYcZ0rQ2zq00WCaUqle3jfEGGVSp3pZz3o5Zju0h2VS/e6HRlU/Ma6yPrNef4fu32e90tAb9gB7c6/RrdvMfz2NDXdNqxmHzMOJHmDriT+1P6+3Of8nr4fs3cBHcp7fkugpv2sf9e1EDG7wROJSq7KkqSjmJLeLiJGJd0oefxj4d/rP8TfsOcUlaZSM2onyXq2i+yB4q9fSXmS9empyewueOJ7K7qa3KwfXEceqv+6x3s2IcU0e1G7GHBsTQZxRSzGmcvWzDkHj/8Co6ed9p1cPue2onX63r7l0/p+61/Fx+t0PTUdlfWb9rB+b4e+QprhhD7D/tenx0jbzZ3tYDUMP8E7sTVxmPZu4DK7uPIZZe+U89xUmD6w4RuR46ye4nlpI5InfD/hLCeVB42TLpkR+pB8QuVLvBl5MebnRr2/xWj/b2uOIHHUn9lGGJI2aYRlYOCtNl1IU4E5vdwWeRKQm+zHFAfK7qWcAN+lnxJ/tbtwBPJ/opNCLBUS+2r3bzVhgjAiyr+hxeY2+ftchGM0OMWVsO4sYzfeu6pSxfW1M52Or3d5+lkn63Q+NujV0f7VAWZ9ZGb9DC5l6g0xL/2fYA+zNgyAeBby7xfzZHu7DPoAiwC7AT4nLbF7G5BzhqZlEDrgfUW3P/LzLh0/Lee54Ip95kXuI3iKziB3uAlqfsV5InGjYn3J6z6VnSXcncn8tJfKXPYPJJ3H6sazFa/3knP43hn9blaRhtIbueoC3m+ceOusdfjwRYD8XOLO0dyOV523EsWWnuVjPA55Df2NRfIj+Ajcb6C0go6mjjHXoD23nGj5lvO87SmqLpq4y1rNuBiz8F/DQLuYvYz806u6ifSwlq8zPrIz1o7mjpjSllBm066WsdstcQ+T6TgfUfDARlP5bzrw7EoFZiD+/5/bQniptT6SC2ZIIoH62xbwnJtNWxCXbVWkeCXo58SOdNQv4fznL3gl8gugdfjnxXh9FjGB8PNFD/fnA08kfQHI3YtDX43tse1Z6UiJ9P58kBnwte7CKK4n3vXHOa3m57DuxKTEY03/2uLxG007AA4nfvrnE4ILnEQei0nRxT3L7T+BCekujMkrp4qQq/Z24Qu4MWudFvZgYLO/b9Jd6aB/6H+vmCiKdYlnc17Y2bJ/PHpSzDo1aeoJh3HZUr0Fsm2WtZ91clbcquf0XMRB6kbL2Q1PBeiIedCfV7LtTU/13aNj2d90Y5bZPOWUG2Ddt87iXZcaBNxEH/6k3E2k9mmUDsacBv888zl5m3knevXafS3POym7zh21FBJy3I9r6HeIEQbMdgCcQAfgfUm1wHSYPBvRdJg909jgm7xB/QVx2fFPmud8SAfZ9iaDH2cl0EvAZYsTzZi8mBlS9svumT7Aqc/+DxDo1COuJ7/M1Oa/1OjDX8cT6VXR1g6aOxcBrgefSGB8ga5xIbzTdBvPR9JWeTP8WcVJUUrnOJ9IZHUx0fNiK2NesIE5s/Yby/qC9vIQyTi2hjE73tdNVp5/PN6tsVOJ5JZRRxjpUtWHZdlSvQW+bda5nhxP5uQe9H5oq1lDdvjs1FX+HOt2mhnHcjk7bfk/OaxoBOxNfYnbqpOfxmU3L/Iv84PZZTfMd1/T6AcRZvPSHpbm38A8yy95O641kZjJPOv93cuY5pqk9R7cor9mmxKWJzZ9Xu+mILupo9oukjG4DFL9vakPege2HmuY5j/zP96jk9fVMDtyPEQOn5r3v/+myzXkeDpxDBPMHndN3GxrrYnbq5nK51H2IkxT/XVrr6ncy8XkcVndDOrA7je8v7yqLMr2KyEfXyW9BmqIibxDiYXcO0fZ+UibV5RZG85LUzYnP/Pt1N6QHhxBt/2DN7ejF8eQfr4yCdH98YN0N6cHPibYvrrjeg5N66xwUdjnD/Rv1Z7o/9s1O/6TzdDZFutnXjgOX9Flfp+Yl9Z1TUX1Fuvl8bk1uT6qwfWd32LZBrkN1GIZtp2qXEW1/QU31n5TUf3hN9TfrZdt8V5d11LGenZYsu2eXyw2Duo7zrk2mqk2136Futqm1wL31NDNXL3GDUdzGRslOJJ95v8HGg4DXk//H/f1E7+NjmBg034zIA3UKkQM7637EweXLgQdknn8WkX889UmiV/uLgLcTf6gWERv+o2j09N6f2Lk8NrPsJkRv4EcS6Vmydk/avEnmuScQO/clxAHwYUw+mHwL8GjaB43SATzzBg9t5dpkuaqtanp8fs48e2TurwOOJf+S/N8ltzOIS4yyxoHXkR9IPor+r7T4DRGoOYnJPfDLdj35JzI2J9LedOMjxAmfE/ptlIbWYuLSvY/TeUCo+QoaSZKG3ZI+ll1HdPLo9QquXva1EOkcp4NePp9OrlQu27Z9LNvvOlSnOrcd1avKbdP1TK1MlfWjl21qFsMxHp5xg2ngIjo7c5L9oT+8w2U+2lTXGBGEXZYz703Ap5jcyzRv3ux0etP8l7SY95tEbqNW5bXrldvpe2+eTmpTbju99mD/XqYNG4hgb7NsL/d2PSSvS+Z7dcHr88jv3X9wl+0eBp9g8vv4QBfLvylZ5unlN61W9mBv2IzIj9drT4CHDaBNg3YO0XZ7sFfHHuz1sAd7PezBPrxuprd93Vqis06v+tnXbgBm91F3p+rswd7vsUi3vWT7cWmPbex3HapbXdtOnezB3v+2eXKX9dWxnp2WlDGKvWunWw/2qfA71O82Nbf6Jv+fftv+4OqbPK2U1oP9IUTgu910W2aZ73e4zGub6hon/vQtJVaww4AnE2fTtgReweQcQ0vb1PH8pvkf1GLeo4mdfavyft7is+rmvTdPJ7Upd1Cuz9y/i/xBKbIDBTUPgNos7cW+b8Hrq8nPj97N6OLD4lXA25g40MuriYBRK2PEgLbvJ9LvfG0QjVPtFhCprx7URxm3ltQWSZIG7Wc9LHMHcfz9jR7r7HdfO8ZwXdJetjKORf5QUls68aselul3HRoGdWw7qlcZ22a3Ka5cz9TKqK8fZWxTVXfeSJXR9jtLaovaGHQ+6kG5lVjJvgdcU3NbprJ/ZO4XbZTZM6jtLvu5NLltlSLnp0w+ILhvm3KH1TuIkwN/TB7PBX4CvIdIh5Q1gzaQbgAAIABJREFUh0hHdF6y3MnAG6ppZuk2I3p/70/0sn4gE9MuKU6e7N3H8hvof/BfTea6K2mYjfJv1Nvo7vLw84iUgt/to84y9rV39LF8s2H7/sr4fL5dUls68SGqX4eGQR3bznQwbNtjVhnb5re6XMb1TK2M+vpRxja1oqS2dKuMti8rpylqZ6zuBqgStxAHEWuY2OO8nZk0UjmMkz8K8Wwag5quJT//el55d7eYbw4TL8ldx3ANLNGLmcR7yqbZSS/ZgcbJrg3EZ5h3tcAwG6ORn6zoxN164v3OIq5WGPb3OING3rIVlJfWJFturzYweYyEUTCP2AZabf9V63TdTV8btdHYx4ieD+uJ7W6UpPuMdvuWYTSLOKl6LxOvZBoF6T54FYMft6Rs6W9MOqhTVdJ1tehYqR9T6TdqBrFdtOrgU9Zx0LDsazv9/mZS7e90um/oRx3HIlWuQ8Nkur3v+cR7/TPljoUwCv9X6tw2q17P5hKf8ygeb9R1nJeuG3Xs60f1d2hYjgd6Mcptn07+73sywD49/IY4M/8+YnDZTm1MpHVJg8IPYnJ+0aU0Lhn6I3EZUJFtaeSXfAITe8hnPbKpnd8nBtOdCuYA9ydSG20CbETsmFcQKYiuq69pPXseMT7Cxh3Mu4r48XkB7VMK1W0nGoMrP5Dy/vSeQP85Jd9N5C0cNWcSPYX2ZDhOmnWz7o4DNwKPGGiLyrcp8Tt+DvCSepvStQOIQclPpftconV7FnE10lsZvVRf6W/U02hceTYqvkAc7zyYai+H3Q/4EvGHt59eRs26+Y3aQIxJNOy/UTOJfeoDiN+nceK7ugG4nMjzWoZ3As/ss4x+97XdfH8Q6VaqylV7NP3/rtZ1LFLVOjRsptP7/gGwC5E6tKyrJLrZHu8hApkvBc4uqf5O1b1tVrmevQ94KvAk4G8llluFuo7zfp3cHvT/2bvvsEnKKmHj9+TAwAwMOQ6SM4oiiiICggFFdF1FYVmRNay4oLLL6reIeQ0YMawoK2tWDIgREXAVCaKIGBgEYchpgBlgBia+3x+net+afjtWV+hw/66rru6u1Keru6q7Tz11nhKfM20Qj0P98HsgqzOAY3tcx6DmDQbJdrQvF64hkrWTU4hSPLWW1od0ME+7P3YPJvO1Osg9iXU7ZfhMF/GqPLWerLN0tDHKnZz+hmzbrDbcwuDWhP0F8Rqq7uQ062e3n1red8pOTqthJ6fVGJZOTkfpGFWU66nuuzbr+1dmYuKDGeIblt8i6n95dnLay/+VKjo5/UDGWAdx3zyXiNlOTjtXVSeng6zK3wO9+n2HMfZj7KMkt05ONfw+n7r/oibznM74ZV3n0Lp+Xa013F4t5qkvBTBoZ7RHwXzixM1RGZef3n6WodXLpa6riRY43dTA07p6+ezOYrQ/u5KK5zEqH9v1sGwv37W9vH/zWbdEYpHm97Csv0U0KAbx/4r7ppSvqn4P5MG8wYAxwa52vsN4R7LHESVN6tU65gTYieiodNMm67s+ud2txXNuVvf46vZhqkR59GTdL50IVSFrC8PVxOWIl7WbUU31+tmdROeX+ktSt/I4Ro3y92taFd+1ebx/czIu262sZdr8LaJBkcf/lSp+87lvSvka5P/eWWvt90PsI8kEu9pZRdR+AtgIeEuT+d7FeCmX/YFrgOc3mK+TBPv+qfsPAFd2FKnK0mtP1mOM1+0fRZdmWGYpUZPx2znHMmry+OwuySkWSaqXxzHqoZxiGXRZfmf0+l2bx/tXVt8Bf8qwjL9FNEjy2B8vzCmWbvw5wzLum1JzVfweyMvFGZbpl9ilodVLDXaIEzGXJ+t4jNbJ8VOJpPwY0Xv05nXTD02mrSR6327kWsbrRn0wY8wqRrouedbhj6VHnU1RNdh3IP5Ad7q9fk10JjwMfkG8pipqsO/L6Hx206zBXg1rsFdjkGuwj+oxqig7Ue537aC9f5szur9F1P96rcG+K4O1P6Ztxujsm+cSr8Ea7J2zBnv3yv49kKcdGdzYR4k12NWVtcAJRHJ9JvA9ml+CfCawH3G27Xwmdti0MLmdRnwQ672A8dYGjxJ/9NU/jsthHefksI5B9jfgiOS2lWuAlxC9xC8qOKZR8IYc1jHqn11JxfEYla8bKfe7dtDev3vwt4iG1zE5rKOq4+m9uG9KeSr790CebmJwYx9JzVoQS/UWEmdovwrsAvyU2NkbXcp6HXBYk/XcSdTBWo84m7gwNW0D4FOpx+8A7u4pauXtqT0uvwgTAABXADsTnf3uAmxInPV8mPjT+2cmnpxSbw7qcflF+NmVVByPUfkr87t2EN8/f4toWD25x+UXUe3x1H1Tytcg71ODHPvIMcGubnyNKG/xbuLS8auBlxEJ9W4sAvYAnpAaNwX4IuOXtFyArdf70VY9LGtP1utaC/whGVS87XpY1s+upKJ5jCpGWd+1g/r++VtEw2jLHpbtl+Op+6aUr0HepwY59pFiiRh16z1Egh3iTNpVwJuIki+dWpTc7pDczgXOIy5rAfgVcWnfWC+BqhD2ZK1BNcg9yEsafh6jBpvvn9Q/Hsu4nPujJCkzE+zK4gzg1cDjRE32TxK1rU4kSr+0syi53YPoIORPwNHJuPOB55E9kati/SrDMvZkrX4wyD3ISxp+HqMGm++f1D8uz7CM+6MkqScm2JXVuURnpr9JHm8HfB54kPiT8e/AscBzgAOBQ4EXA/8M7JYscwjwWWBrokPTNxOt2LO2AlLxPkZ3l0xeDuxLlPyRqnQGfnYl9S+PUYPN90/qH2fh/ihJKpk12EfDrOR2C2DvnNf9WiKJfgKROJ9OdHDarJPTeouJHzNfB+4jOm9Qf3sj8D5gmxbzXA+cDVxKdF6b9+euDOk+AvYAVlQVyBCpXeGyF9Vsz1H57KbNS24H8bXU9sFNGLzYa/1VbM3gxb5xcrsjg3c12Zzkdg/KrZ9bK3k3md7e71E8Rg0T3z8pHzOT263Ivo+4P/a/DZPbnRm8hp9V/c6rleX1syr1j21rdyZVGYVKcz/xh3kZxf5Znkok2KcTnZbWf1GOER00rGX8y8EejwfXDOJ9rL3Pa4E1wMrkdtBNYTw5eRfxetWbecRnZjHV9rEw7J/dtMnAfOK1La04lm5NIz4zjxFXOQ2SWUSy9xGinNogmUPEvwRYVXEs3ZpL/AYp+xgzjUjOrAUeymF9o3SMGka+f1Jv5hG/w/9Ibx2WgvtjP1ufOJnyEFH/fpDUfiutotzPUe3/6OISn1NSa+m8kUbAJcQfzVNLft5pwEbJkO4EdbcknjHiz7Ck0fALYr+f2WY+5WdjYpv/sOpAMjiYiP3MiuPI4vVE7CdWHUgGHydiP6DqQDL4ORG7P3IlSepv5xLf2XtWHEcWX2U8n1H2MGgnI6SRYYkYFWkVUZO9Xrp11zwGr1WlJEmSJEmSJA1crSsNh3SZmvUri0KSJEmSJEmSemCCXVVId244q+lckiRJkiRJktTHTLAri8OB84H7iGT5DcDpdF5XeW3q/rSmc0mSJEmSJElSH7MGu7oxFfgCcHzd+J2BdwNHAM8FHm2znump+3bSIQ2XbYFdiM41pwP3A78H7q4yKElDw2OMJEmSpL5igl3d+BQTk+tpBwKfAf6hzXrSZWEe6zUoSZWbB5wMHAvs2GD6GPAjOr/KRZLSOj3GWHZOkiQV7TrglcBHgB+X+LzfJH7zSOpDJtjVqb2B13Yw37HAe4AbW8yT7th0edO5JA2Ck4h9fl6LeSYBRwIrS4lI0jDxGCNJkvrJ0uR2IXBJic+7ov0skqpigl2dehHxB7adScChtE6wb5O6f18vQUmqzDzgXOCoLpaZ3n4WSQI8xkiSJEkaECbY1aktu5h30zbTd0huHwIeyRaOpArNBy4Cnphx+RnA4/mFI2nI5HGMkSRJ/WvD5PYgYLsqA8lgz+R2b+AFJT7vTCwRI/UtE+zq1JIu5r23zfRDktvrM8YiqTqzgYuBfXpYx1zGL62UpLQ8jjHr0/63iCRJqs5uye2nK42iN29KhjKtKfn5JHVoctUBaGDc1eF8q4Gftpg+HTgiuf+jniKSVIWP0lvia4zOjyeSRk8ex5hbc4pFkiRJktqyBbs69csO5/swrf/Y/gOwSXL//J4iklSUlwJfbDB+MrBej+seAx5sMP4o4NIe1z3ovgS8OOd11vrOOAJ4uG7aI8BWOT3PVYy3RMrLlOT2TUzsZPu3jF8N1auldNbHSDemJbdnEQnjtK8A/5zDc+wE/C6H9dSrlVe5mImtpE4HPpHDc7wQ+GqD8XkdYx5oMP5lwIU9rluSJEmSJjDBrk5dBywCFjSZPgZ8EviPFuuYA/y/5P73gb/kFJukfE0lSiwUYXKTdU9pMG7UzKS47d7oPc2zhuPsBuvPy3Qmdl45K8f1z6G4K/pmJkP9uDw025fyMrvBuGkNxmVRxTHG37ySJPWPRg1u1N6qqgOQ1Jh/NtSN9wNnJ/cfB84lWprdBnwbuLbN8h8hEvRrgDMKiVBSHi4Fnt1g/P8A2/aw3nuA1wDLG0z7Qw/rHRbvBD6T8zrnElcLXQm8rW7a6hyf5wR6b3lcb1/gY8C3gM/WTatvjd+LQ8i/BfuLgDcDZzKxHNrdOT3H7TTeT3t1EnEVyxuZeCL8bzk9x68o/xhzXQ/rlSRJ+foz8NSqgxhAi6sOQJJG2SVES8VTe1zPFOJy9LFkOJ/OW/2dllquPskjaTAsZ3w/7nZYBTyj/JBH3sbE9v9h1YFkcDAR+5kVx5HF64nYT6w6kAw+TsR+QAXP7TFGkqTRcA7Zv/NHebg9y8aWVDxbsKsba4CjgauBTYmayRcDr6J5p4VzgA8yXm/2AuADxYYpqSDLyFaaYzVwDHBZvuFIGjIeYyRJGg2/AFZWHcQAWlJ1AJIaM8Gubt0GPAf4AXEZ98HAjcB5ybhbiVZkWwOHEX94N0uW/W7yOM+6v5LKcxGxD3djKdG58QX5hyNpyHiMkSRpNHw5GSRJGhh5lYhJ24xImHdyGdMyoiyMnRhKg20novZ1p5cw/prmHSOrHJaIqYYlYrLxGCNJkiRp4NiCXVndC7yE+AN+IvB8YIu6eRYSLdu/QLR8lzTYbgSOIFqb7NBivmuA9xL9NHjFilrZEdgL2ByYQXQAejnWlyxav253jzGSJEmSBo4JdvXqymSAqJu6PlGrfSlRE1XScLkC2BU4EjgE2AZYS5x0ux74CXBTZdFpEMwDTgaOJRK99caAHwFfKzOoEdDpdl9cZlANeIyRJEmSJPWdIkrESJL6X7+ViDkJeIjOyn88iCVi8tLNdl9GdSViJEmSJGng2IJdkiQVbR5wLnBUF8tsWEwoIyXLdp9dTCiSJEmSNJxMsEuSpCLNBy4CnphxeX+rZNPrdp+eYyySJEmSNLT80ypJkooyG7gY2KeHdTyaUyyjJI/tbj8qkiRJktQBE+ySJPWHbYC5Oa+zVmZlfWDPumlriE4j87AjMLPB+HfQW5J3DPguE2NfDtzcw3rT9gAm5bSumi2T262YGPtDwJ05PMd0YOcm0/LY7suZGPs9VN8JqiRJkiRJpbOTU0nqf9+is04o8xqW5hj7H0uO/YocY19Tcuz/nVPcu5Qct78jJEmSJKmByVUHIEmSJEmSJEmS1K9swS5J/W8aUWYlz2Er4vj/4wbTZuQY+/QG638PvbWWXgRs0uR15dkB54wmz9HL8KbkNbyhwbS8yvNNavLcV1Dcdp+SU+ySJEmSNDSswS5JUn9YlQx5WpHcrgUez3ndaSsbjOulnvxq4Fjg/h7W0akV7Wfp2qrUbVHbfazJurfqYZ1lbndJkiRJGgqWiJEkSUXImrheDRwDXJZjLKNkecbl3O6SJEmSlIEJdkmSVITrMyyzFHgp8O2cYxklv8iwjNtdkiRJkjIywS5JkorwQ+CRLua/HNgXuKCYcEbGh3C7S5IkSVJprMEuSdLg2xHYC9ic6LTzbiJx+liFMd0HHAF8GdihxXzXAO8Fzifqig+KZtv89iqDAm5muLe7JEmSJPUVE+ySJA2mecDJRKeUOzaYPgZcVGpEE10B7AocDjyT6IBzLdGJ5l+BnwO3VBZd9zrZ5j8CriozqAaGbbtLkiRJklSpS4g//adWHYgkKRcnAQ8Rx/ZOhourCXOodLPNlya3J1YSqSRJkiSpNLZglyRpcMwDzgWO6nK53fMPZWRk2eYbFBOKJEmSJKnfmGCXJGkwzCdKvjwxw7KbAtOAVblGNPx62eYQ21ySJEmSNMQmVx2AJElqazZR5iVroncysF5+4YyEXrc5wB05xSJJkiRJ6lO2YJckqT8cCmzfZNqxwD49rHsM+Huio8ualcCXeljnsHgNMKnB+Dy2+ZZMrMP+V+CXPaxXkiRJkiSVzE5OJan/fYvOOy3NY1hazsvqe2sod7v/dzkvS5IkSZJUBluwS5LUHxYBv28wfhtg4x7XfSdwX924ZT2uc1hcy8QW7JsCW/W43kbbHOC2HtcrSZIkSZJKZgt2SRpc19Nbi+lbgPVLj3qwfRm3uSRJkiSpA3ZyKklSf9uuh2VXA8cBj+QUy6jYrIdl3eaSJEmSNEJMsEuS1N+ylnJZDRwDXJZjLKPi8YzLuc0lSZIkacSYYJckqb9dlGGZpcBLgW/nHMuo+G2GZdzmkiRJkiQNKWuwS9Lg2gl4mM7rf/8aWFBFoENka9zmkiRJkiQpYYJdkgbb04CbaJ3k/R1wNDCpohiHjdtckiRJktTW1KoDkCRJbV0B7AI8BdgH2ARYCywBbidKmtxdWXTDyW0uSZIkSZIAW7BLkiRJkiRJUu7s5FSSJEmSJEmSpAxMsEuSJEmSJEmSlIEJdkmSJEmSJEmSMjDBLkmSJEmSJElSBibYJUmSJEmSJEnKwAS7JEmSJEmSJEkZmGCXJEmSJEmSJCkDE+ySJEmSJEmSJGVggl2SJEmSJEmSpAxMsEuSJEmSJEmSlIEJdkmSJEmSJEmSMjDBLkmSJEmSJElSBibYJUmSJEmSJEnKwAS7JEmSJEmSJEkZmGCXJEmSJEmSJCkDE+wqwwbAFlUHIUmSJEmSJEl5MsGuoh0C/A24Cdi94lgkSZIkSZIkKTcm2FWk44ELgY2B2cB5wKxKI5IkSZIkSZKknJhgV1FeAfw3MDU1bnfg9GrCkSRJkiRJkiSpe5cAY8CpJT3fU4AVyXPWDyuAXUuKQ5IkSZIkSZIKYwt25W0u8E1gepPp04H/LC8cSZIkSZIkSSqGCXbl7Z3A9m3mOQrYt/hQJEmSJEmSJKk4JtiVp52AN3Yw3yTg7QXHIkmSJEmSJEmFMsGuPL0dmNZmniXJ7dHAlsWGI0mSJEmSJEnFMcGuvGwJvLLF9FXAR4jyMfcAU4HXlhCXJEmSJEmSJBXCBLvycgzNOza9CzgYOJVowX5xMv744sOSJEmSJEmSpGKYYFdejm4y/gZgP+Dy1Lirk9sFwNMKjEmSJEmSJEmSCmOCXXmYCRzQYPwi4BCiJEzaH1P3X15QTJKUp22ALaoOQpIkSZIk9ZepVQegobAnMKVu3Crg74nyMPVuTd1/blFBSVKOfg48SlyRI0mSJEmSBNiCXfnYpcG49zJeCqbeg3XLbpV7RJKUr/nJIEmSJEmS9H9MsCsPG9Y9vgv4cIv5l9c9fka+4UiSJEmSJElS8SwRozysX/f4g8BjLeafVfd4j3zDkSRJkiRJUgl2BPYCNgdmAHcDlwO3VxmUVCYT7MrDpNT9lcBX2sy/Qd3j3fINR5IkSZIkSQWZB5wMHEsk2OuNAT9K5rm5xLikSphgVx7Wpu5fxLo11htZUPd4s1yjkSRJkiRJUhFOAt5DJNmbmQQcCTwFOABYVHxYUnWswa48rErd/3UH8+9Z93hujrFIkiRJkiQpX/OA84GzaJ1cT9sM+EhhEUl9whbsysPjqfvXdDD/U+se+zmUJEmSJEnqT/OJigVPzLDskcA01m2cKQ0VW7ArD8tS9+9tM+9k4Hl145bmG44kSZIkSZJyMBu4mGzJdYDpwJz8wpH6jwl25eHh1P0lbeY9CNikbtxD+YYjSZIkSZKkHHwU2KeH5deybt5IGjqW5hgNuwNrgBOAXQtY/+ap+x+mdYv0QxqM2xb4Qq4RqV9tS5QI+hGwvOJY2pkN7Jfc/yXRSYtG1xxgBh6ryjQLeAFwNXBrxbFIrcwF9gZWA1dUHIskDbonAesBV2I5iVG3AbAh8b9sMvAYccX8slYLKXfzgRf3uI6lwOdyiEXrch/J3/bA1sD9wMIG02vfUROYYB8NDxAdS9xGMT03P1L3XHc0mW8esF2D8QuxR+lRsTPxJbCC/n/PNyXiBfgqcdZdo2sNkTxbVHEco2R7InE5C7e7+tsC4vtiJfD1akORpIF3JPHf9WrgxopjUflmAk8D9gU2ajB9DPgr0WDLK+HL0UvL9Zor8fd8XtxHirUL8bu+Wc6q9h2lEXUJsZOdWtD6ZxDJpzHgZS3m+3IyT/2woKC4IGp9HQw8n2g9rWp9gHjPD6s6kA7szvhndHbFsah6i/FHYdkOJva/MyuOQ2rnIOKz+mjVgUjSEPgjcUw9vupAVLqTiIRgo5xB/XAPxeYRFKYTDTU7eU+aDbcA65cd+JByHyneh4jt940m06+jyTa3BrvykD6zs0uTeZ4EvKrB+GsoNmm1I3ApcfbuIwU+jyRJkiRJ6s484HzgrOR+JzbD//dleDGwTQ/LrwaOY92qB+qe+8gAsESM8vIH4AnAng2mTQHOpnEN62ZnhfKyJnXfGn6SJEmSJPWH+cBFwBMzLHskUS7j8VwjUtoGPSy7GjgGuCynWEaV+8iAsAW78nJVcntAg2knM95ZZNojwOcLiyikE+wrC34uSZIkSZLU3mzgYrIlDiHKl2ycXzjK0VLgpcC3qw5kwLmPDBAT7MrLlcntdsDmqfF7A+9vssxngSVFBoUJdkmSJEmS+s1H6a0DzbXAvTnFota6aQF9OdEB5wUFxTJK3EcGiCVilJcriYPuTOBZwDeBWcDXiU5Q691D88R7niwRI0mShsGOwF5EQ4YZwN3En9jbqwxKHfP9k/qH+2P1tgVe1+M6/oL/8ctyFvASYIcW81wDvJeoFT5WRlBDbm/cRwaKCXblZQVwBfBs4HAiwf55YPcm859CXDZUtLWp+7ZglyRJg2QeUWrvWCIhVG+M6Mj9ZODmEuNSZ3z/pP7h/thfDs5hHefksA515mZgV+AI4JnAVkSu5X7gr8DPcb/J22tzWIf7SIlMsCtPP2c8wf5m4FVN5vsBkYAvgyViJEnSIDoJeA+RFGpmEtGB1VOIfnAWFR+WOuT7J/UP98f+8+Qel1+EycOyrSZOQv2o6kBGxHN7XH4R7iOlsga78vST5HZr4Mwm89wPnFhOOIAlYiRJ0mCZR1xefRatk0FpmwEfKSwidcP3T+of7o/969Aell0NHAc8klMsUj96Qg/Luo9UwBbsytPvifp1W9D85M2JwH2lRWQLdkmSNDjmAxcBT8yw7JHAdPy9U6Ve379p2CBEykuv++NMuuvYUd2ZlHG51cAxwGU5xiINE/eRijRLgk4GtgHWbzBtI6LeklRvU1r/KfgY5fckbYJdkiQNgtnAxWRLBkEk1+fmF466lMf7Nye/cKSRlsf+uHF+4aiBJRmWWQq8FPh2zrFI/Wht+1kmcB+pUH0L9kOBdwH7AusRHX3cDFwL/C/wK+Bs4mxwq96DNXpmEcnzbZtMvxz4t/LC+T/9WCJmFrAB8cNvNhHXo0TL/tUVxiVJkqrzUWCfHpZfCzyUUyzqXh7v38M5xSKNujz2x3tzikWN3Q48rYv5Lyf6eFtUSDRS/1lDXOnRaWlv95GKpS/L+STwptTj1cQlUY1aUjxOJAk1GO4iyrbcCywuYP2TaH7FA8Rn6W9UkzyeDOyW3L8beLCCGCAuMZxL7E8zm8yzlki038/wXo64GdEaZBGwrNpQ2poB7Jjc/wPlltSaTnxOphL712pgOf1zkmgU7Urso3+tOpARsh6wAHgAuKfaUIaOx5h8zQa2J44R12dcx0x6b7yyAripx3UoG9+//jCqx7Zhe907Er/DryaOr91K/4bPyv2xeFsRdfFXEeWxmnmc+H/sCchqbAhsSbW5lFG1O3E8HyOO8824j+SrlrNaCtzRYPoONMnp1RJGJzCeXF8L/D/g48QbtXUy7c2MH/hmEqVi3MEGw51Egv37wHkFrP9fiJ2/kRXAW6guKTUN+HFy/1vAD0t+/i2AVwMHM35C64okpoXEQXA9YHNgf+IqkicksZ5DHEyHyYnAy4HPAtdUHEs72wFfSO6/neJLDM0BjgYOI37E1BsDrgI+Q/zAUbm+AzwGnFJ1ICNkH6LD7EuBz1UcyzDwGFOcvYjWkivJfow4hd4TtP8NfLfHdSgb37/qjOqxbZhf9+eJE+wXJ0O3jqf3BLv7Y/H+FTgcOIm4untXIse0luiY8W7gT5Tbf5smeh6Rz6kilzLqfkzk8l4H7I37SFn+Cfh7oo/J9zWYfjbRsKahScTZjrFk+FCT+Z5MtK6tzbdn9nhVskuI9+zUAtb9ZsY/E42GfyjgObsxLRXLq0t+7oOJ2nK1518DvLLNMlOI9+kx4ItFBleRDxDb4rCqA+nA7oy/d1laz3TjJOKy/lb7Um24h/jToXItxsvtynYw8Zk/s+I4hoHHmGIdRGy7RzMuP534c9TJ+9NsuIXmVxKqWBux7n8p37/yjOqxbdhf9x+J2I/PuPxvcH8cBOdiXmkQnEi8T6+vOpAR9DiRQFe5PkR85r/RZPp1NPn+mEycBUl34PGzJiv5LesmKO3oVEfSPvFR9aWJVdVgfyHwU9btbOx/gK+1WW4NsU2PAl4B/Hsh0alfzAPOB85K7ndiM+AjhUUkaZh4jBkMTwc26WH51cBxRGsmle9F9NYZou9f90b12Daqr7tbe/WwrPujJCk0B5ivAAAgAElEQVSTyUws7bFLi/nPAy5M7je6FE2jY1fgqzTvcKFWTuOF5YTT1FrGy6wUXeKjZkdi28yoG392B8s+G/g5463X30dvHfSof80nri45KsOyR9K8lr8kgceYQdJLHx+rgWOAy3KKRd3z/SvXqB7ben3drWpcD5usJTbdHyVJmU1m4uWs7yTqQTdTSxLagn10zSPquW/QZPr3gfcm9w+n816Pi1JruV6fYJ9C4058ezGVuJSk/rLCJUQdxFaeT1xBcihxAmsmse2alW3S4JpN1JR8Ysblp9NbazlJw81jzGhYCrwU+HbVgSgT37/ujeqxLY/XPUolTx7LsIz7oySpJ5OBG+rGbUyctd21yTI/IDpy+kqT6U8ATie+nG4E7gV+AXyCOHvezMbAG5Ln/lEy7pnEJW2/T9ZzIdEB66wm65hD1GpLd4jyAqKDkvuJxO82dcvsBfwXcDnRgcBi4PpkXKNtMBl4BtEJ7M2Mdw77QqKO2M3AbcTle+1+BGXdVlWaAnwd2LnJ9CuJM/+1DjDmE/X7q1RLrK8iOh39T+I9XkVc/ncHUYplSg7P9ffAfg3GX0vr1hTTiJNXjVpBPYfobFjD46P0dmXCWuJ4IUmNeIwZTN1caXc5sC9wQUGxqHuPdzGv7182o3psy+N1L80plkFQ6wOrU+6PkqTc/IqJBdqXAv9Md62PX0MkLMeAh4lk+R116/0mkXStOZpIxq5MzXMZ8G+Ml/eoH64mEqU1hxEJ/2WpeX5L4w4435Va7l2p8YuIEji3pcY9wro13D5J9NSbXt8ZwJeaxLkcOCDHbZVVnp2c1jqpbDTcyHirkEmMd9h1eg7P24sHkzjOYXybNxra1UfvxO+arPvrbZY7sEVcY8RJi2FgJ6dxTOml46UxovMnlctOTst3MPF5t5PT7uyJx5iy9drJ6WHJ8l8GbqL1e/M74rfzpN5CVo5qHcB9CN+/Iu3BaB7b9mX0XnevnZwuJP6Huz/2t3OJ98FOTvubnZxWx05Oq5G5k9Naa9m3EEnYdLmMDYBPE19sJxFJ7VY+zHgC9zLgxcADyeO/IxKMU4kWvgcAexNJ/IOJMiLpunAHJgNEz+eTgU1T059MtBB/avL4rUwsRbIfjVuQ1xLAxwPvSO7fRrRWf5z4gv1uEv8c4O2MJzcfYWLrlHcmt3cmr3t7YP9k3Cyihvahdctk3VZVO5g48dHIg8DziCQUxAfs58S2Owx4T9HBtVBrEXYCUVvvo8AVxGfslNR8xxAlWs7N+DxbAE9qMu2BJuNr2p1IaVW2SYPlNTms45wc1iFpOP1jDuvwGFONO4m+kPYnWqtuQjQ2WQLcTjQeuauy6NTOzfj+Fem4HNYxiMe2N+SwjkF83b1ai/ujJKkiTyKS2Y0y8WuI1tvN6lU/iUhcjgEP0bg293F16/xcatpcJp4F+Cnrltp4dRJHep4XpaZvAPy1bvofiMT8y4iSIHcynvy+PDVffeviV6WmLaubNrtBHF9nvIXrZOAnddPTrV973VZZ5NGCfSpx9qzR52MtkVyv95pk+grybQHcrdsZj/VlddO+zLqvZWEPz/M0Gm+fMeKkSivp1tKNhlf0EFc/sQU73Err97rdcAujVUezX9iCvXwHE595W7B352Y8xpQtrxbsH8gtIpXJ1n3luIHRO7ZtSvxfHLXXnUcL9qzHY5XnXOJ9tgV7f/M7rjq2YK9G5hbs6Rbf1xAJwkYJxslErfG/MJ6gTvss4/WrP02UPKn3ZaKWes0/pda1FPhzatoaogb571Ljvki0Jk87OXX/4br1ryWSqfcRpV92Izpm/U0yfVVq3jV16013Rjkb2DD1eDmRsK05j2j5vDz1vGezru1S93vdVlX5Z+LSzEbeT5xUqFergz+dqKdflVoL9huJ9yut/r3ahewd+C5oMa3+M1bvL8BFTabdx3i/BBp89f1AdGM1cQLukZxikTR8tms/S1MeYyT1qyf0sOygHtueA8zrYflBfd2SJA2c+vrqtxB13t5G4y/ibYjW0Eekxm3Musnfq2gu3RJ7EnBI6nE64X0l8YOg3mdY92z07nXTl6TuX0+0aG/mbcAvicTle+um1f+A26zucbpV+90N1n1r3eONktu8tlXZNma8FE69/yXq0DeyiGhJB/DsfEPqSu2z1ejsX6MTSptkfJ6sy9X8HRNPADxAlBDyh/HwGMu43GriZN5lOcYiafh4jJE0jEbx2NZLbfBBft2SJA2cRh2YriAuUd2Z6Di03nrA94ha4zAxyf1Yi+f7bt3jbi8HeoSovV6zeRJPI/W10utdDjyLaCm/MFnPa4l6bBfWzdtNR6+tnrvMbZWn97JuK/6aB4BX0rp19qXJbZUJ9loL9uUNps1oMK7+BEmnZmVcruZhou7+HsSlWC8HdiTqxWt4NDp52M5S4KXAt3OORdLwWdV+lgk8xkjqdyvbzzLBqB7bRvV1S5JUmaktpt1DXFL2C6KUSToROQv4BFEDfbe65da2WOf9RFK5loisX7YTf6t7vAkT66R3Y2OiNvnriEvw7iA6gsmjI8J6ZW+rmlpJmpk0rvneygKab4u3ElcUtFrnlcny+wFPIV7TEhqXxilKbTtPY2KsT6t7fAVxwqDb7QStL+Gc0cU672DdluxZYulXtePIbPr/dc2pu9/qeNmNlcm6Oj1xdxVxwuU2+n+bDbpNgC2JWqXTiD+otxD1TycR75nvQXlqfR9Mx+3ejceJY22nLR89xvSu1thjEtm2Ye2z3s1vBfWP2m/1LL+z1blHiX1llI5ttc/WCho3CmpkGF537Tdy1n1qMtmPxyrPtOR2Dr5X/czvuGr5/7N805PbRvlDaJPH2Zf2X9j7EaVQ0gXcVxM725vrxr+qzbpuSs2bbpn7pdT4VpeyvSE13xpiR6/5XGrab9vEAdFa+IFk/qVEnfEpRImY9Guqb3n+59S0TzRYb32HlQcm4/PaVt16sO55HRwcuhuW9UEMDg4ODg4ODg4ODqMy9NqxrYODg4ODQ2nDVKIzzTcDH6e53xEtvL+fGjeFKFtyQ928C1qsB9Zttf2XNvM2Mjt1/zbal4Jp5nXAfyX37weeSrRULFLZ26rmOqIczn/Q+IRAM5OJGurz68YvA/YB7m2wzFTgX4BTaFxWppFlRH39D9O6bE5WFwJPB75JtOioeTrwU8ZbwnyV3nrH/nfg/zWZ9jHgHT2se1i8mzjevIjx8kH9alfg6uT+AvL7bN5J7DtPJo6hOxP7ylqiddY9xP5+f07Pp+ZeB5wOzO1g3rXEe7NLoREp7ZnAj4FP0vzYqoluJY4le+ExpiwHEr8nlhHlC7v1bOAC/K0wqI4HPkX89j2n4liG2Q3E/4ydGJ1j2yuAzxP/MT7L6Lzuq4gGax8BvpZh+WuArZjYj5r6y38RDQ6fSm+5DhXL77jqLCbycfu3m1G5ei9wMvAd4B8bTL+SKOs8Qa3kwWlE6+9WCaQLiMTQVqlx6xOtudOOBt7XYj1bpO7XL9uJrVP36xPWndqCdU8ovJXik+tQ/raqqSXqV7BuJ7Ht7MbE5DrAh5hYqgeitMJ5ROK6G+sB/0psj5cAf+xy+XZqn+sxxl//hkTpo1py/UKilM2KHp7nwRbTVtLdth9WtfqZj9H/2yNds38ZjWv4ZzFG7JMPE31BXJ7TetW5ecC5wFFdLDM5Wa7fP7fDpHbsXoXbvRu1VhQeY8qT/v2c5bNaW97fCoNpRerW9684o3hsqzUkW8Fove6s/13Ty6f/96k/1fqlWo7vVT/zO65atZOpKk8tZ7Waxtu+aanvyclCmwNv6+CJ0qVkxoik723EmfOa/Ygz6408gfG6xmPA/3bwnPUOT93/ftO5Wns+65aWuaNueq+dVTZT9rbq1ZMbjFtG46sdNgUuofvketqOxI/GZ/awjkZqHb7VaimtT5ww2jF5/DGis9tekuvQOsEuqT/MJ45V3STXa2YxfhyRJEmSJEliMrAouf8fRG/jzWzNupfR/54oczBGtD5OO63JOtLlN84lSs800qyI/yGM10P/K3HJXFq62HyrJMiqusfPqXt8dN3jTeset+vssD5BX2slXcS2KtLeDcZ9g4kdlE4ieqnPo3TCHKIkwK45rKumdgZqQ+JSwUuBZxAnC14BvIXxM+i9uKvFtF46yDwCeE8Py0sKs4GLgSdmXN4OsyRJkiRJ0jomEx1pQiQOvgScRNRXT9uQqE9d6+l5Leu2eP8K0SKw5gTWrXUNUVurljR+EPi3FnHtlcSRth3r1nw6jYlJ0S1T97eleZK9vqXySUTZk3cSJw7qk5lvBM4iTkBMYd16bgsarH/7usfp+fPeVkXarsG4cxuMez2tW50vZ/y9qnUW2coc4LuMt+DvVe2Eyu5EvaT9gD8kt9/M6Tlg/GRVIzNbTGvnLfR2ZYCk8FGi/4isxoAlOcUiSZIkSZKGwGTgxtTj2UQi+VoiEXEK0fHkDcBByTxrgVOBn9Wt6xjgJ6nHnwa+TCSQ3wX8nCjNcT3RmdPiNrGdRXTU9Wmig7MriGT2CqLQ/PmpefcnCtGny8fMJZLZz2JiC/RLgIdSj9cnWpafAexL1KNfmpr+d0QS/sXE9ki35H8e0fHDdkQS9TAiUZ/2duBQxpOseW+rotR3DHMPE+v+TaVxeaGHgfcTyaz1gV8l488nWoAeQiTrm9W13g04s+uIG6u1YN+M+Ax9GjiA7DX8m/kbE1v312yccZ0bAgczcX+T1J19iU5Ne/Fn8rnaRZIkSZIkDZF/IVrlXUsklm9jvBOZ+uEqGtflrplEJOUXNVj2PuAzRBK/kS+l5l0CXFe3/CrgaiIxWq/R86WHLzVY5nDGS9wsT27/QJTjAHh33Tq+SmyjZs/xHaLlfas4DstpW3XrkmS9p3a53G/r4vpcg3lewMT4L2biSY3/TKbV9xC+HXGyodH2WgXs0GXMjZyTWueHc1hfK5+g8Wv5Zcb1vY04QbBVuxkHxAeYuC/0q90Zf//y2hchjm8Lc1yfOvM5Wh+fOxlOKT3q0XYwsd3zOtk6KhbT+ooq5e8geutQ77Bk+Q/kFpHKdCLx/r2+3YzqyR2s25fVKDiW0fz98UfidR+fcfmF2CngIDiXeJ/3rDgOteZ3XHUeB/5UdRAj6EPEZ/4bTabX56r/b5hK1LsG+G/Gv4g2IpJLexCJpb8SidFFtC7vMUZ0gPnxZB1PTJb/A5G479SfiD/WuwM7EX8Wr6Z5a+cFXay75mdE8nZfojX7g8DdqenvAP6HqEN+LXBLh+ud1H4WIL9tVaT613JZg3kOrXt8BdGqf2Xd+N8kt7sA6xGlYiCuUng+0dHoyXXLTCX6Bnh15yE39G2irv73gX/vcV3tfJCId/268btlWNdGwJuBLwJ39hiXNOoOaj9LS4tYt0yZJEmSJEkSU4ka7J+sG/8gkUxtlFDt1INES+asVhNnBq7rYR3tPErr1/i3ZChar9uqKI/VPb6iwTx7pO6vJsr31CfXYTzBPpk4qfHr1LRay4yZTCzhcDTwT/RWluEnRLK6DHcRVwrUt/bfmEiyX9/Fuj5O1Pz/j3xCk0Zaoz4lOrUaOA54JKdYJEmSJEnSkJhcdQDqa+k69WM0bsWfri1+IXG1QyN3EslngCc1mecUJp5QmcvgdfB5NlHnvd4JXazjX4mE3huA+/MIShpxy9rP0tBqot+MXk44S5IkSZKkIdWvCfYpVQcgYDwhDtFyc02DeVal7td3gFqv1oq9WYL9cSKxXO9pbdbbj04iOs1Nt7x/E1H6qJVJwOlE3aePAt8qIjhpBF2UYZmlwEuJMlOSJEmSJEkT9FOCPd0SevPKolDaTan7DzeZ547U/XblE65NbvduMc/PgN/XjRvUz8O7iZMDtVb5M4hW/u8Htq6bdzpRu/7yZLkPAG8tJ0xpJJxBdyVeLifKWV1QTDiSJEmSJGkYTK06ACLpeCjw7NS4BUSHl18FHqB1x6pqr9bh5s7A4V0sNy11f26TZZek7h8I3NDBevcCngusbTL9L0SnrzX7NHnuQfFvwFOIevL7AG9LhvuI7TcT2DS5vYloxX8dg/uaNwW2AjYgjjFLib4MHgK2T+bZj/46wdfItqn7h9C4b4EsphId/Q7q+zvITgdOA7ZoMc9NwNeIBPvOyaDitDpe1E7GLsD9pRvTgFm4zcq0V3I7hWzbvfabZ/uMy6tatf6IdsP3r0gzyL6PDarasWUXRut1z0ludyXb616P0fusDKItk9unp+6r//gdV53JxPHQ7V6uBcnt5jTe9nMajAOiHEXVHiW+BJu5ADiqpFiG1V1EQuluYHEXy00hDqS1z8mfmZgUn8F4Auox1m31Xm8a8UMJolb7iibzrc/4hxoiCX17RxH3v8lEIn0mkUyaQmzTVUSN6GbbpN9NAeYDGxKt8Rt5hHidGxH1/B8tJ7TM0p/t35PfCcndidJBzforULEmEceYOYyfRFxF7HuPkN+JFDXX6fFiCbAN8b11dzmhDYXdie+VhVUHMkLWA55AbPc/Z1h+DpFcvx+4J8e4VI6NiBOFdwIPVhzLMNuV+A6/vupASjSP+B7s9j/coNuJ+K90dXLbrZ2J33hZjscqz9bEb8EbiVKx6k9+x1VnT+I/6o1VBzJiNgc2IRp+3dZgeu07qi89jWj53GzYrbrQhsYlxFUAp2ZY9uJk2TGiFW+7eZ7ZZn0PJvO9osU8T0qtbwz4TBfxqnwnEa1NxzoYHk1uD6sk0u7sznjcs3Nc7xJMfGl0dXO8qH1fnFlJpINrMbCo6iBGzEGMf8dlcViy/Adyi0hlOpF4/15fdSBD7g5G7wTUscRn65SqAynZH4nXfXzG5RfS/w15BOcS7/OeFceh1vyOq87jwJ+qDmIEfYj4zH+jyfTraPL/tR9KxFxRdQBq6fOMJ9ZfRCTr651OdN45GTiHKIeytMn6riXKAe1F8w9sfQtSW/r2p3nED6NurjBpdbWKpOGV5XixYTGhSJIkSZKUn36vgazqfYfxyyKOo3GCtNYxJ8TlEj8j6uo2Uruss9WVCZvVPb66fZgq2XziZEvW8k3NykJIGj69Hi/6oTGAJEmSJEkNmWBXO6uAM5L7GwFvaTLfuxgv5bI/cA3w/AbzdZJg3z91/wHgyo4iVVlmE2WBnthuxhZm5BSLpP6Wx/GiH/qLkSRJkiSpIRPs6sSXGC/l83aaJ8ffCPwr0YHjVsAPiA4C0moJ9h1o3irx5an75wBruoxXxfoosE8Py48BP8kpFkn9LY/jxYdyikWSJEmSpNyZYFcn1gInAI8RveV+D5jbZN4zgf2IFovnA/fXTa917jgN2LHB8i9gPBnzKPDxzFGrCLsDr+txHX/GnuKlUbA1+Rwv7swhFkmSJEmSCmGCXZ1aSPQgDbAL8FNggybzXgccBryUia3P7wSWJfd3qpu2AfCp1ON3AHdnjFfFOC6HdZyTwzok9b9n5bAOjxeSJElSNRYSDR+vbzejNOpMsKsbXyOS3gAHEJ2P7p1hPYuS2yekxk0BvggsSB5fgK3X+9FTe1x+ESbMpFHR6CqlbizC44UkSZJUlcuAecD/Vh2I1O9MsKtb7wHendzfGbgKeBNR8qVTi5LbHZLbucB5wEuSx78CjiFq76q/bNXDsquJFvCP5BSLpP42v4dlPV5IkiRJ1bNPPKkDJtiVxRnAq4k62jOBTwI3EiVk1utg+UXJ7R7A64E/AUcn484Hngcszy9c5Sjr+7KaOGlyWY6xSOpvKzIu5/FCkiRJkjQwplYdgAbWucBviLIu+wPbAZ8HPg38kujk9A7gXiIpOxNYH9gS2C1ZxyHJAFHX63TgE9hyvZ/9Cti3y2WWAv9AlP2RNDqy1Gr0eCFJkiRJGigm2NWLvxC12F8GnAY8CZhOdHB6WIfruAf4H+AsogNU9bePAf9InCzpxOXAqxi/akHS6PghUeLF44UkSZIkaWiZYB8Nmye3zwFmF/Qc3ydatO9CdFS6CTCnbp6VROvEFcDWREv1s4maXq8pKC7l75tEvfyNWsxzN9ERykKiNeog2iR1/9+AtTmtdwZRm/od7WaUhsCoHC/6ySyi43CPMeXZLrmdRrbtXuv0/cCMy6ta+yW3LwA2rTKQIbc+Ud50lPaRfZLbI4ANqgykZLX96DmMH1+7MZ/sx2OVp/b5fj1wX5WBSH1qCpGT8FhWrqcnt3vQeNs3/a1ngn001DognUsktot0UzJA/AiuPfcqxhOU84hW75OIH00rC45J+RoDvgdsS5T8qdXdXw4sAW4HHk7G9dIpatVmEwk/gC2Iz2seavtF0fui1A9G5XjRTyYTv+88xpRnDvF9sZps2712Qnf9jMurWhsmt/Pw/SvSFOL4NkrbuPbZKuM/XD+5A3iQ7MfUaYzeZ2UQLSXe5/XwvZIauZP4n+T+Ua7HiN/1D9F429+RTNOIuoRIcpxadSCJzYl4xsjWKkEaZEsYT9xLUt4WY5mdQXMY8ZvoA1UHokxOJN6/11cdyJC7gygtOUqOJT5bp1QdyIBZSPTvJUlSaSZXHYBG0vLU/U5r80qSJEmSJElSXzHBriqsSN2fVVkUkiRJkiRJktQDE+zK4nDgfKIzkhXADcDpwMwOl093Fjmt6VySJEmSJEmS1Mfs5FTdmAp8ATi+bvzOwLuJHu6fS/uad9NT91fnFp0kSdLguZXoDP7GqgNRJn8D1iS3kqp3I9FJnSRJpTHBrm58ionJ9bQDgc8A/9BmPemyMP74kSRJo+xGYB7r9lGjwXEpsAG+f1K/OBqYUnUQkqTRYokYdWpv4LUdzHcssFObedIdm/pnRJIkjTp/Dw023z+pf6xm3T6/JEkqnAl2depFwKQO5psEHNpmnm1S9+/LHJEkSZIkSZIkVcgEuzq1ZRfzbtpm+g7J7UPAI9nCkSRJkiRJkqRqWYNdnVrSxbz3tpl+SHJ7fcZYpEH2ILC46iAkDa3FtO9sXJIGzWJG77/r4rpbSZLUp0btR4qyu6vD+VYDP20xfTpwRHL/Rz1FJA2mg7AupKTiHEJ8F0vSMHkunZWrHCYXEv1g/aXqQCRJkgSXAGPAqT2sY+9kHe2G97dZz4mpeXfvIR5JkiRJkiRJkgqXR4Id4BaaJ9bXAh+ndV3/Oal1nN9jLJIkSZIkSZJUKUvEqBvvB85O7j8OnAusB9wGfBu4ts3yHwEWAGuAMwqJUJIkSZIkSZKkHOXVgn0K8DvGW62fT+sW62mnpZZ7W49xSJIkSZIkSZJUirwS7ADbAvcyniy/FNiyxfxzgE+n5v8+o9dBkSRJkiRJkiRpQOWZYIfo8PRWxpPmy4hyMS8FngzsA7wA+BhwT2q+7wDTc4pBkiRJkiRJkqTC5Z1gB9gM+C7NOz1ND8uIsjBTcnx+SZIkSZIkSZIKV0SCveYA4AvAXUxMrF8PvJsoKyNJkiRJkiRJQ2Vq1QFo4F2ZDABziZbtq4iE+4qqgpIkSZIkSZKkoplgV56WJoMkSZIkSZIkDb3JVQcgSZIkSZIkSdIgMsEuSZIkSZIkSVIGJtglSZIkSZIkScrABLskSZIkSZIkSRmYYJckSZIkSZIkKQMT7JIkSZIkSZIkZWCCXZIkSZIkSZKkDEywS5IkSZIkSZKUgQl2SZIkSZIkSZIyMMEuSZIkSZIkSVIGJtglSZIkSZIkScrABLskSZIkSZIkSRmYYJckSZIkSZIkKQMT7JIkSZIkSZIkZWCCXZIkSZIkSZKkDEywS5IkSZIkSZKUgQl2SZIkSZIkSZIyMMEuSZIkSZIkSVIGJtglSZIkSZIkScrABLskSZIkSZIkSRmYYJckSZIkSZIkKQMT7JIkSZIkSZIkZWCCXZIkSZIkSZKkDEywS5IkSZIkSZKUgQl2SZIkSZIkSZIyMMEuSZIkSZIkSVIGJtglSZIkSZIkScrABLskSZIkSZIkSRmYYJckSZIkSZIkKQMT7JIkSZIkSZIkZWCCXZIkSZIkSZKkDEywS5IkSZIkSZKUgQl2SZIkSZIkSZIyMMEuSZIkSZIkSVIGJtglSZIkSZIkScrABLskSZIkSZIkSRmYYJckSZIkSZIkKQMT7JIkSZIkSZIkZWCCXZIkSZIkSZKkDEywS5IkSZIkSZKUgQl2SZIkSZIkSZIyMMEuSZIkSZIkSVIGJtglSZIkSZIkScrABLskSZIkSZIkSRmYYFcZNgZ2qDoISZIkSZIkScqTCXYV7RDgeuA6YPeKY5EkSZIkSZKk3JhgV5GOBy4kWrDPBs4DZlUakSRJkiRJkjS8XgO8Fti66kCkYXIJMAacWuJzvgJYkzxvenh/iTFIkiRJkiRJo+QLjOfhrgXeBxwITKkyKGnQlZ1gfwqwgonJ9bFk/K4lxSFJkiRJkiSNknSCPT08AHwVeCUwv7LopAFVZoJ9LnAzjXfk2vC9EuKQJEmSJEmSRs03aJ2XGyOqTvwaeDuwDzCpkkilAVJmgv1jtN+J1wL7lhCLJEmSJEmSNEr+QvvcXP1wB3A2cBQwp/yQpf5XVoJ9J2Alne243yo4FkmSJEmSJGnU3ED3Cfb68s4XAicDO5Ycu9S3ykqwf5H2O+lDye0qYMuC45EkSZIkSZJGSa8J9vrhBuCjwGHA9BJfh9RXykiwb0nzjk3HiJbtZwLzgLuTce8sMB5JkiRJkiRp1NTygEUMjwDfBV4DbFHWC5L6QRkJ9rfSfOe7E3h6at6vJONvKTAeSZIkSZIkadR8gci7PQv4R+A8YCnFJNx/B7wHOACYUsJrkypTRoL9MhrvaAuBzevmPTk1/WkFxiRJkiRJkiSNklqCfc/UuGnAwcCHydYJaifD/cCXgVcAGxb38qRqFJ1gnwmsZuKOdQuN66wfkprn4wXFJEmSJEkQHbSdwejVjX0tcGjVQUiSStcowV5ve+CNwI+Bx8g/2b4a+CVwGrAXMCnH1ydVougE+5NpXHP9KU3m3yE13+3P0jsAACAASURBVMKCYpIkSZIkgPcR/z2eUXUgJZoCrCGuNJYkjZZOEuxps4EXAJ8BbqWY1u23Ap8Fjkyeb6hMrjoADYVdGox7L3B1k/kfrFt2q9wjkiRJkqRQqwk7tdIoyjWJ+L8/Sq9ZkpTNcuBHwD8DC4jE/GlEC/Q1OT3HtsDrgR8QecGfACcRLekHngl25aG+rtJdRE2nZpbXPR6lliSSJEmSJElSPxoD/gx8iOgkdWPg5cCXiBrreZgBPBc4C7gZuB44E3g2USt+4JhgVx7Wr3v8QaJ+UzOz6h7vkW84kiRJkiRJknq0BPgWcDywOfBU4N3A73J8jl2BtxIlrhcD5wH75Lj+wplgVx7SHRWsBL7SZv4N6h7vlm84kiRJkiRJknK0FvgN0XH4k4EtgBOA7wCP5PQcGwB/R/N+HfuSCXblYW3q/kWsW2O9kQV1jzfLNRpJkiRJkiRJRboH+CKREN8YOAT4CFHyZaSYYFceVqXu/7qD+et7MZ6bYyySJEmSJEmSyrMSuBQ4Fdgd2AF4E9GZ6YoM65uXX2jFM8GuPDyeun9NB/M/te6xPdtLkiRJkiRJw+Fm4FPA84GNgBcCnwVu63D5+sa5fc3EpvKwLHX/3jbzTgaeVzduab7hSJIkSZIkSeoDy4EfJsMkYA/gBUTy/UBgSoNlJjUY17dswa48PJy6v6TNvAcBm9SNeyjfcCRJUkYziEs6JUmSJClvY8CfgA8CzyJyhK8AvgTcX2FcPRmoswHK7GFgDlHzaFmbebOYRvTyC5FgX9Ni3vWB6XXjHi8oLqkXUxjvH+BuIukkScNuFjCb9t/nGjeV+B20lvYNDSRVYzZxfHuYdfuPGnbzgdUM1hXDc4nf4X8Etqo4FkkaVHOIHMYg/qavfWc/RrR8L/u5ZxL15B9tML32HTWBCfbRcDnwNKIn33MLWP92xGUeAK8kfgw1siXwYyZ+GN+WWl7qFzsA5yf3n0y2TjkkadCcBhwLvAq4ruJYBsV+xO+rx4D9qw1FUhNvBk5IhqsrjqUsU4BriWP5qyqOpRvfA3YE3g78oOJYJGlQvQt4CXA0cFPFsXTr74HTgXcC3yn5ud8CvBr4KfCvDaZ/F9ip0YLWYB8NtU5I7yEuw8jbjUSrrclEC4lmz3Eajc/0fANYVEBcEGe9jid6H74Q+H1Bz6PhszZ1/3rKP3MqSVV4ILm9mWJ+MwyjjZLbtbjNpH5Vu+T8FkZnP63913+MwXrNtf+udzFYcUtSP6mVYr6JwTuWPiO5vZPyY1+c3C5t8tyPNxgHmGBXPlYQCfInALs0medJNG45cQ3FJdcBtid6KYZoYfayAp9LkiRJkiRJ0gixk1Pl5Q/J7Z4Npk0BzqZxSaJvFBZRSNeaGqV6i5IkSZIkSZIKZoJdebkquT2gwbSTidbj9R4BPl9YRCGdYF9Z8HNJkiRJkiRJGiGWiFFerkxutwM2J+q9A+wNvL/JMp8lejQukgl2SZIkSZIk1dsE2AqYS+RIlwJ/Y7yGudQRW7ArL1cyXuz/WcntLODrwIwG899D88R7niwRI0mSJEmSJIB5wBnAjcB9wO+BXwA/B64GHgB+QPQzKHXEBLvysgK4Irl/eHL7eWD3JvOfQpwZLNra1H1bsEuSJEmSJI2mk4BbgHcCOzaZZxJwJHA5sKCUqDTwTLArTz9Pbg8H3gy86v+zd99xj5Tl4v8/W9gGCwsLLJ2l944UQQREEAFRURQFsXCOqCgW7HosWDiIiGLBwldsR1SOIuixINgQBAUEpInAovS+wC5lH/b5/XFNfsnmmbSZSSbl83698pokU3LlzqRdc891N1jufOAHPYnIEjGSJEmSJEmjbA5wLnB6cr0d84DPdi0iDRUT7CrSL5LpOsApDZa5HzimN+EAloiRJEmSJEkaVXOBi4BDM6x7MOllj6VlmGBXka4C7k6uN9q3jiFqXPWKPdglSZIkSZJGzyzgQmCHjOtPo/0e7xphJthVpNVp3kv8c8B5PYqlwgS7JEmSJEnS6DkV2C7H+kuJQU+lpqaWHYB6onI6y2rApl16jBnAt4H1Gsy/ihj0tFuP38jyNdfnlPD4aWYTpyitmFx/CngEuB3L2PST+TXXNyJeJ0m9MwV4CfB7oryYemPlZLoe8FCZgQyQdZPpZPrjd4akiVZJpuswOu/TKcl0BoP1nCv/XecxWHFLo2w14vN1RSLPuBC4BXi4zKCALYA35tzGLcCGBcTSDc3afaVkmfUZvM6m82qmvf4eqPwXmt3gsRuWC5rUlXDUbx4gErpP0b031kwaH7AZBxYl016bBKyQXO/m829lMrAc0UaNzhwZJ3rcP0UcJVW5JlM9QPMA1l2Tem0KcUrn03iAq5emE6fCLmbZs8DUWGVfHQceLzkWSelG9bNtNvF8F5cdSAeWJ36HX0/1AKak/jOJyHEsR+Mcxxjl5jdmEPHlUWYeKU277Q6Rf1rE4OWXliNeuyfpfSfUyu+FMeCJlPmV7ygRydaZObexHnAE+d+ovXIR8afvhC5t/8vJ9tMui4Gdu/S47ZheE0veI5dZbAj8D/GBVonjp8AhREmdKUSPmp2ADwE3Ej+CT8IDYGXbkuprNqvkWKRRtDfx/ms0aLa64zSi3XcrO5ABshcm16V+dxLxPt275Dh6aSrxnP9cdiAdupaI++iyA5HU0HFEL+lGeaDayz0se3Z4L93QRnzNLrcRByr7RSftvjiZbl1KpPkcS8R+TAmPfXLy2Gc3mH8NDdp81ErEzAL+BfyDzv44Lg/sCewLHEC1ftMvKf+Ul7K9A3hTk/nHAn/tUSxpao/U9fqo497AuVRPzVkKHEUk3Gs9lFyuAD5NtOmJxOkwr+tFoJIkSZIkSU3MAc4CDu1gnXnAZ4HDuhFQE8uTr7zIGJG/eayYcHLJ0u55OxarQ6OWYH81UU9nVyLB3u7R/OtpXFt8lB1M656FZdcUrz0FtJexHAL8iGXLinyLicn1es8QbXoN0dP9JqLHjSRJkiRJUhnmAhcAO2RY92CiAkQvczIbkL2UxxhRteLi4sLJLE+7g6Vue2bU6sYcV3P97R2stwfxgfC3YsMZaJsD36PxPlTpLX5Ib8JpqFKaBXrXg31jom3qP8i+1sa6+wC/Ab6Z3P4k+Ua8liRJkiRJymoWcCHZk7zTqI6N1+8WEr3tzyk7EPK3O/RXiZuhNkoJ9r2AbWtuH0b7g6bcAfycxjV40vwX8OIOlh8kc4je1Ss2mP9T4BPJ9f0pfz+rHCWtT7BPofgP+anEflL/IfYIcFmLdV8I/Bp4HrAWMajDZKIGlCRJkiRJUq+dSr6Of0uBRwuKpVOd9Jq/BNgeOK9LsXQqb7uPE89JPVB24rOX3lp3eyrL9mhvx21tLncQ8FGiN/KwmQJ8n8a1rP5MnErzs+T2XMod5BSqifUlwJpEnfMbktuPEQdQ3kc8t7wOJwYsrfc3qj3p0yxH9HBPK9v0fGCd/KH1hQ2J94anKWW3JTEg7ih9fveDVzK8B00lDYZ1ifGADifKHh4ArFFqROqEr5/UP3w/DgZfp/6wPfDGnNu4nmXL9/bSL4FbWixzJfBSYuzFBd0OqE3bkr/dr6P3YxGOrFGpwb426YmR/wA+Royu245mCdKK+cB3gEltbnPQfBJ4QYN5/yRKwjxBJJTvB1Yjvggv70l06SpHLF9K9C6v77W+NpF03xZ4Vc7HeleD++9psd4uSRxpJgHPIQ5sDLrXAx8Efpdc1Lk3A28hDmJZtqp3TgMeJwYulqRemQMcDxxJlKCrN06cZXk8cGsP41J7fP2k/uH7cTD4OvWfNxWwjTML2EZW9xG5oIOJAzbrEj3q7yU6Xv6CyGX1m/8sYBtltvvIGZUE+7HEc70aeBjYO7l/ZeBo4CsFPc6qxIf9ygVtr9/sDbynwbyHgAOBB5Lb40Qt8SOA/YATux1cE5Ujdq8nBqs4FbiUqK1fW4v/CKJEy1kZH2dNYMcG8x5sse7cFvOH5Uj91LqpOmcblmMqtrmk3jqO+P00p8kyk4g/jM8CdqN/el3J10/qJ74fB4OvU3/aK+f6Cyg/0TtGdJQapM5Se+RcfwHlt/tIGYUSA9OoHvn5MvDFuvnHU0xv862A3xPlGyr2Bb6aXN6Xss6GwIeJwRNuJo6g/Q74PPGl0U+mEm2X1lbjxBHm+qN+FybT3YjBGcpSW3PrVUQv83OAdwDfrVs27XVq1/wm855osW6rI6Z3dxaKJEkaUHOIP4Cn0zzJUGse8NmuRaRO+PpJ/cP342DwdepfuwKb5Vh/DDiKKM2rzqyXY13bvQSjkGA/HFidGGTye8QAnHfUzN+MxiVPOnEKyybXAbYmkvv/Cby3bt4biB71HycGAr2XSAQ/F3gbcD7wA1r3bO6VNxMHEdJ8ijitpl4lwT6NKHFSlkoP9puBH9XN+1rd7c1oXKqllflN5rWqN3Y9cEGDefcRZ0ZIkqThNhe4CDg0w7oHE7+5VJ68r99yxYYjjbS878cZxYajBnyd+ts2ZO+QOkZUCbi4uHBGSrulrOvZ7iUZhQR7ZXDTbwGLiJ3tjLpl3lHA4xwGrALcVHPfd5L7VgE2qLn/M8A3iFrgFyfz9iQGsnx5EiPEwYErgZUKiC+PVYmBKdP8HvhIg3kLqNZFK3PA10oP9r+nzLsx5b7VMj5O1vUqXsbEAwAPEuMHeORRkqThNovonLBDxvWnUf5vxlFWxOtXP06QpGyKeD+uWlw4asDXaXgtJHJk55QdyAC7sPUiE9juJRr2BPuziMEjx4nyMBVfZ9mRdJ9P497Z7VpM1Hev7an8cM3lkeS+Hakm9B8BDmLZ+tznELXCK9YDTs4ZW16fIL2u/INEyZVmvbN/m0zLTLBXXuu0I4DTU+67PePjzMy4XsWjxEGVrYBjgFcQA7tcmnO7kiSp/50KbJdj/aXEb06Vo4jX79GCYpFGXRHvx3sLikWN+ToNjic7WPYSYHvgvC7FMio+QWcdLW33kg37gG2V3uu/Af5Rc/99wA+JuuEVx1PMKL2tfAWYklz/Euk/pL9DJOErR3L/gxic4PKMj7lKMt0JeE2H665GJHvTnE0MYNpMpff4zkR986eJMwla1SQv0uxkuiETn3/9F/o/gEMyPs5uTeZtnfLYzSwhTnd7UcZY+tXWyfT5wFplBtKG2lJBr6R6ZknZNk2mBzGxLJW6ZzpxsLbTz1Blt3ky3RLbvZe2SKYHUv28UXOV2qRTyb6vrge8MWccdxEdH9R7Rb1+ry4gllG2GvH7ckWi3M5C4mzah6n+Bt2ffHVt+1Gj5135n7kqg/U9WqnB/Szit1en1qSY9+MRObeh5ubi6zQIdk+mFxE5ndWbLLuASO5eSQyMmndw1LzWSaYbM1ifgbVOI94ng9TuRajk1nZn2c7RvVDpfD2f9P0mrfMxMNwJ9tWI3sAQiex6X2TZBPuRwPtZtjd50VYletRXXNZk2a9SLWUziRgwNWuCvbID7EjnNd03p3pAoNa9xB/vRn++pxIfAmsktycDn66Zv4Towf8A1frz3VJ5/vNZ9jWHOMJX6/GUZdq1UZN5W+XY7jDZJJk+j+ynAvbK8jXXD6d/zviptOGB2NOtl6YTn2u+j3un8tm9JbZ7L1WSxS8gkjRqrbKv5vmM2KL1Ii0tyvH4ysfXrzxTiYT5mkS5iTT3A08l159PJIkGXTvP+4FkuiqDtW9VEuxbk+1Ab7P/ZO3y/dh9axawDV+n7qt0OtsAuIbIs61CtRLA00QO5UGiYsAWFPOdWIRK2bWNGez9ZNDavQiVgyO7Aev2+LEr+Zb1Sd9v2h2Ieah8kDjivZgYmGHLlMviZJnK5QMttvnyuuXTjlxcVzP/83Xz9qpbv1nv79Xqlv1ui9iauSjZxgkdrjeZ+EE6Xnd5jGrivN5Uoqf6gynrNbo8Rpz+krfESiN/IL0Nn0OcVlaJ46ycj/NfNH6OJ+Xc9rA4idb7fr/Ykurr1+iPSxnOIGIahj+Hg+QBoneAemdvYl8/peQ4Rs1pRLs3OytLy6r8vns8xzZuov3fTWmX26iesafe8/Urx3FE7/R22vjxZLp3GYEWrJPnPQ5cVU6YmV1LxH10xvX/D9+Pg+AT+DoNgmOI9j627EAy2JqI/RtlB6KOHUu8do2qaXTTycljn91g/jU0+Fwa1h7sU6l+AMwkGqAdbyEGIO1Wb+r6I0pLmyx7P1FGpZJ0LuNo1GakDxryGeCelPvXIgbpfHaHj7MCcUDkFcBLiR9VRaqcUlLbE39l4P9RHRH7V+Q/RS3PH2tJkjSamp0R2I4x4CgcEL0s++Lr12tziI4xh3awzvKtF+l7WZ43DF9JnFb2yLGu78fe2T/Hur5OkvrOsCbYDyVOKVhC6+T6tkStOogE8eHA97oUV30v2FanRd1F9RS3XtcdgvQesouI3m31Vid6ym+WMq9dGxMDM7wQ+GOO7dSrHDCZlkxnEzWqNk5ufw54D/lrbD+Uc31JkjR68iS/xoj6sxcXFIs6t2GOdX39OjcXuIDspQantV6kL+V53isT/3e7WZKznyzXepFUvh97a4XWi6TydZLUl4Y1wf62ZPpjYnDCZr5NHP2seDvdS7DfVHd7fovla3u4X19sKG3ZNuW+s5lY93kScA75kusVKxCn9T0LuLGA7UH14MTKwDzg58SAr4uANwA/KOhx7moyL8977QBgT+DDObYhSZKGy0Ji8KXzyg5Emfj6dW4WcCGwXY5tpI0t1e/yPu9JRAejUekMVHsWeLt8P/beIxnW8XWS1Lf6ZdC+Iu1MddTcr7ex/Okp6+c5rayZ6+puv6TF8rU93OvX7YX1U+47K+W+Y4l65o0spto7fBFRn6iZFYiDI1mPater9NbYEvgzkVy/OpkWlVyH5vWZZ+TY7jvpvOyOJEkaLJ2crXgJMVC7SYb+8WQHy/r6ZXMq+ZLr40SietDkfd5LGa1Bqx+h9f/NWr4fy/HvDpf3dZLU14Yxwf6uZHorUbKklb8QSdda7ygolvoj5/9i2drlO9G4ZuOGVBPM48DvC4qpE/Pqbt9DfLHVmgq8P2XdR4FPET8GZ1Mt+XIusCJRr/IsIvmeZguKG9iu8od1HnHWwJeIwdvqzyjI6xYm9u6vSKtl346VicGYfp1xfUmSNBh+SPyWaOZKYryaPXHg5X5zOr5+3bQV+cdLuo5yym7msT35n/f1wDMFxDIolhAHvHw/9rcnkmmrRLuvkzScNiY6Hb+JqCTyCmDdUiPKadhKxGwGvCy5/k3aP3L9PSLhWvGSZFv1Cdj6UwrTDlAsqrk+v+b6HOL0vHcD36m5/71EmZJ6taM0nwVckbJMt9UPBnQeEwdmPYCJb4KLiLpo99XcdxmwD7AjMRjob5PLR4EzgBekPP4biAFVW/04auWJmuunEK9BNzxDvFZvS5m3VsZtHkvsN9/NuL4kSRoMdwKbAwcTHRHWJX533QvcAPwC+Gdp0amVW/H166ajWi/S0pkFbKPX3lTANgbxeee1FN+Pg+IQYAN8naRRMAc4HjiS6piItcaJks6X9TKoogxTgn0Scfpc5Tl10jv5N3W3JxO9rw+ru79+EKM1gQfr7ru75vreRG/464lyNVcCLwZeR3yBALweuBT4Rs16u1JNsD9EDMBZhkl1t9MGEnle3e1LgQOZ2Dvk8mS6GZG4rxyIuJ0Y1PRzxBut1lTgQ0R75XEOcdDkp8D7cm6rlf8m4p1dd/8WGba1CrH/fJP40y1JkobbGHG237llB6JMfP26Z9ec6y9gMBPNe7VepKkFDObzLoLvx8HwDL5O0ig4DjiRSLI3Mok4MJr3u68Uw1IiZj/iA/mFNfd9EHgzsE6T9eYk67wzZd5LgfOJZPHmwDFMLB3zWaJXdm35j1/VXF+OSPr/kqjB/d7k/iOIo7EVXyJ6tb8e+BiR8J9NHLXdB3igyXPopifqbl+assxWNdfHgNeSfuplJcE+mTjVsdY4cUrIV1PWewn5DwT9gkhWv47unx55F3BCyv2r0nmS/TTirIkP5Q1KkiRJGmBr51h3jOgB/1hBsfRS2phY7Rrk5y1JGg5ziHzt6TRPrtdasXvhdM+wJNhPAl5Ud992ROL6hRMX//+tS5x+8B8N5h9MJDe/T/RAr6+jvT9RDuXDNfd9C/hDcr0y2NG1ybKVXvX3AQcRCfvbgWnEKRJnAv9FJLa/Qgy4ek2T+Lvt4Zrr48BtKcvUH1z4R4Nt3UkknyHKxKR5OxOf70oM3gCfXyP2vXqv72Ab7yZ+EL8JuL+IoCRJkqQB1WjcplbGiM5NaWfiDoJFrRdJNejPW5I0+OYSOdNDM66/XIGxdN2wlIjZOeN61zKxDEpei4iyKdsDTxGjmKcN3DFO9FA+jehdvQMwC7iaGAy1H9xVc/0x0nt/L6m5Xj8Aar3LiRI5jRLsTxKJ5V/V3b871YMWg+I44kDKh6m+z95KHND5XZP1JhEHdT5OnP3ww+6FKEmSJA2EPxIdqDqxEHgNMY7UoLqASJR3YhietyRpsM0CLqTz7+5aTxUUS08MSw/2fjMG/JVI4LcaFRuizvqFREmafkmuw7IDijzaYJk7aq63Ov3wb8l02ybL/Bq4qu6+NVpst199nDg4UOmVP504ePApJpYumkaUI7okWe8k4F29CVOSJEnqa6fSWamTS4gOT4OeZP4Io/m8JUmD7VTyJdeXAt8tKJaeGJYe7Gpu3WT6UiYO1NrOegCrAV9OWaa2HuLraF5nfINkuh1RAme8wXJL624fRCSnB9WfiAMR2wJrAe9PLo8R5YCWA1ZIpvcTg7GuRHp7D7rdkunbiP2xn61cc/2zNN5fe+05yfS9WD6ol5YnDoQN4/uyX62VTPfDdi/aSsTZc7OIsT4WA/cAjwN7JMu8G7i3lOgGT2VfzfoZUTnovj8DWnNyxFV++x5B804kyu8C4juh2fvkfuAKorTle3oRVA+M2vOufKa+hGyD287D32yDoPK/8ENEh0P1p0H+jlslmT4bPw96bSXgVTm38QhR8aPXdk+mO5G+36yVch9ggn1UjCXTRXQ2YOrjRHJ7EpHgfoyJp2hcQfXLcV6L7S8BXkD8mafJsv8gduaKp1tsdxA8QLTVVGBNYHUisTGDaJfHgAXAgyXF1yuVgXMX0v+vaW35qIfo/gC57aqM7fAI/d+Gw2ScOPhnm/fO8sn0CWz3IswAdgG2ofqHo97NVOsc+xnTvlnJdJxsbTY7mbqvD6bHa6a+ft31AHADsAnRcWdF4n23iEgw38JwJupG7XlX/rtm/Uys/Gb3/djf/E8zGAb5O65SseNJBi/2QbdxAdv4K+W8bpWc1VMNHr9f8kIqyUXEj7ATMqx7YbLuOLBvG8s8p8EyFQ8ly72yyTI71mxvHI82DpOTiNd0v7IDacOWVPfBWS2W7aUziJiyjj2hbB4gDoKpd/Ym9vVTSo5jGBxHDFw+3sZlUTLdLXVLSrMX0WaPt1qwgf2S9U8qLCL10jHE63ds2YFIQ+Ja4j11dMb1byT757F65yzidd665DjU3CB/x21NxP6NsgMZQd+mvf8djS63Ue2A0msnJzGc3WD+NTSI2xrsauXrNddf1GCZD1Mt63ImcTpII5U67Ns0Webputv/aLKsJElKNwc4Fzg9ud6OfjqgKEmSJGmwzMux7hhwFJ2NP9IXTLCrlf+lOvDqUVRP2a9VGZgT4tTFXxMlUNLckEyb1WqvfzP+pXWYkiSpxlziDLZDM64/rcBYJEmSJI2GJ1svkmqMqPd/cYGx9IwJdrWyhBi9HqJm6zsbLPcxqqVcdgGuBF6Yslw7CfZdaq4/CPy5rUglSRJEL/QLgR1ybKN+zBVJkiRJauWvGdZZCBwGnFNwLD1jgl3t+DZwaXL9AzROjr8FeDdx1Glt4HxgjbplKgn2jWg8yO4raq6fiYMISJLUiVOB7XKsv5Q4UC5JkiRJnfgmnZV4uQTYHjivO+H0hgl2tWMp8HpiNN0ZwE9oXGf9FGAnoufcucTI9rVuTKbLkT6y8EFUkwKPA6dljlqSpNGzNfDGnNu4njiDTZIkSZI6cQdwAHBLi+WuBF4K7Aks6HJMXdeoB7FU70ZiBOnvAZsBvyTeMI+mLHsNsF+D7dwJLCJquW9CNeEOsCLwxZrb/wXcnStqSZJGy2sL2MaZBWxDkiRJ0mi6FNgcOBB4LlHlYhy4j8gD/hq4tbTousAEuzrxP0Rpl48DuxGDj76cSKh3YgGwFbBhzX1TiNNI5ie3z8Pe65IkdWr3nOsvwAS7JEmSpHzGiNLR55cdSC9YIkadOpFIsANsClwGvJUo+dKuBcl0o2S6EvAj4tQQgD8SIweP5wlUkqQRtG6OdceAo+isZqIkSZIkjTR7sCuLjwC3AV8harJ/AXgX8Ang+0QJmGYWJNOtgGOBDwLrJPedCxwJLC40YkmSRkPW788x4uD2xQXGIkmSJBVtJjA3uazS4Pr6ybI7lhGgRo8JdmV1FnA5UdZlF+LD6+vAl4A/EIOc3gHcS/zZnwHMBtYCtki2sW9ygRjQ9MPA57HnuiRJWf2OGCulEwuB1xDl2SRJkqRemErjBHmz6zM7eIzlC4xXasgEu/K4nqjF/nLgvcSRwWnEAKeNBjmtdw/wLeB0YgBUSZKU3cnAq4iD2u24BHg11bPLJEmSpE5MBlakmgRvN1m+YhnBSt0wqewA1BN3Ej3H7yRG7O2WWcQH5Gyix3r9AZylwNPAM1SPIv4Ne6yPkrWAecA/6f8avzOonm3xF/rngOS6wKrATVhKqZe2IT7Dris7kCEzneiBMpX4Yb6EKDP2NLACsAnxveUB2M4sT5xZNr3JMouJs8we6UlEw62yry4Frs6w/mxgY+L1uKvAuNQbc4H1gH8DD5QcizQMtiB+h19GdN7q1JbE+GBZPo/VO+sTidYbgCdLjkWNrQ6sDTxMvE5TiN/tlWnt9X71JLGf7YJ8yAAAIABJREFUSe1Ym9jvHya9A9LmNDiDop/fBCrO3URi85fAj3v4uFOp7nhPEPVdIRKEZyTXP0Xrmu0aHq8DXkaUFvpbybG0MhPYOrn+lzIDqXMccCAxBsLNJccySs4mPsc+VHYgQ2B54FBgH+K7qd448Z77CfAeoib4mT2LbnhMBrYlfgSuTLTro8Rvgr8D95cX2tCZTbTzGHBVhvW3Bz5JDPL+zQLjUm8cALyNKLH0fyXHIg2DrYiOWzcR31ud+irRGcXfbP3tncDziDPZby85FjX2TiLhuHLZgeRwFTFeoNSOdYA1gYeAW1LmV76jNKIuIv5Yn1B2IIk1iHjGqQ48odFwEvG6t1tCSBOdQbThzmUHMmIewBIaRTiO6A0w3sbloWR6SimRSr2zH7Gvn1R2IMrkGOL1O7bsQCQBcCMxvpf621nEZ+fWLZZTub5Fe7/b+/nyjcJbRUphD3aVobasRbs1YiVJg2sO8Ufq0A7WGeSeMpIkSZKkEWGCXWV4quZ6J6M/S5IGz1zgAmCHjOv7W0WSJEnqvXvKDiDFY8SZrg/WXB5qcv3ecsLUqPFPq7LYH3gz8GxgJaJswneBz9DeACVLa64vV3RwkqS+MQu4ENguxzYcpEySJEnqvW6O+fUUExPirZLlDwFPdzEmKTMT7OrEVKJ+1dF1928KfJwY5OkFtK55Vzsa/FjDpSRJg+5U8iXXlxIHcCVJkiT1n6VUE+GdJMsXEzXSpaFggl2d+CITk+u19gC+DLymxXZqy8I8kTco9Z2NgW2IwWynA3cDlwD/LjOoAWMblsN2L9Y6wBtzbuN6YEkBsUiSJEnqzM1EHqhZsvxRlq1SII0kE+xq17bAf7ax3JHAiTQ/lah2YNPFDZfSIJkDHE+8/hunzB8Hfg7c2cugBky7bfhYL4MaAe22+5ReBjUknlvANs4sYBuSJEmSOvf75CKpBRPsateLgEltLDcJeB7NE+zr1ly/L09Q6gvHEQdV5jRZZhJwMLCoJxENnk7a0LM+itNJuy/F/bdTaQcsOrEAE+ySJEmSpD5ngl3tWquDZVdvMX+jZPow9sYdZHOAs4BDO1hn+e6EMrCytOHM1ouohSztPhlYuSvRDK+5OdYdA47C7whJkiRJUp8zwa52PdLBsve2mL9vMr0hYywq31zgAmCHjOtPa73I0LMNy5Gn3WcS7e7I9e15KuN6Y8ARwMUFxiJJkiRJUldMLjsADYy72lxuDPhlk/nTgAOS6z/PFZHKMgu4kOyJYYB/FRTLoCqiDe8vKJZRkrfdJwErFhfO0MtyEHUhcBhwTsGxSJIkSZLUFfZgV7v+0OZynwFubzL/NcBqyfVzc0WkblqZqE2dZm9gqxzbHgfezMSRxn8O/CLHdvvNWsAHGszbm/xt+A4mtuE5wO9ybHcYHAQc2GDe3uRv948zsd0/RGdn+YyKnxElXma3WjBxCfBqova6JEmSJElS37iISAydkHM7tyXbSbssBU6j+VkRK9Rsw+R6f1uPxq91ty7/1ZNn1jvb0vs2fFtPnll/+xi9b/e1e/LMBtPuwD9p3n5XAC+hvYG0pWG0H/FeOKnsQJTJMcTrd2zZgUgC4Ebg8bKDUEtnEZ+dW5cchyQVwh7s6sSngK8l158kvhSXJ8p9nAP8rcX6nwXmA88AH+lKhCrK48A3U+7fiUgc53E5cF3K/a32n0HzEOltuCuwZc5tN2rD63NudxhcRXq7PxvYLOe2G7X74pzbHWaXEu2+HbHfr0L8mVpIlB67ltbjdkiSJEmSJJWqqB7sU4iehpVeh+fSfh3/99as9/6ccag8lX0p6+U22i8XMawuxzYsww3Y7pL606bEGDb/UXYgyuR5xJmcB7RaUFJP/B9wddlBqKUPE51UVi07EEmS2lVUgh2idMi9VJNOvyVqTTeyAvClmuV/imUABtlNZE9QLgH27H3IfecebMMyLMZ2l9S/PIA32Hz9pP6xHDCj7CDU0iQiVyBJ0sAoMsEOUSLkdqrJp0VEuZjDgJ2JUgAHAZ9j2WTi/wLTCopB5biK7AnKl5UQbz+6BduwDPdju0uSJEmSJCmDohPsAPOAH9NegmoRURZmSoGPr3J8gc4TlI8ALyoj2D71DWzDMvwPtrskSZIkSZIy6EaCvWI3ImF4FxOTUzcAHyfKymg4bAA8SvsJyj8RA9uqaiNswzJsgu0uSZIkSZKkDLqZYK+1IrAxkZSa3uXHUnl2B/5J8+TkFcBLsN5+I7ZhOWx3SZIkSZJUqKllB6Ch8mhy0XC7FNgU2Izojb0SkZh8HLgPuBl4sLToBoNtWA7bXZIkSZIkSR3rVQ92SZIkSZIkSRoZk8sOQJIkSZIkSZKkQWSCXZIkSZIkSZKkDEywS5IkSZIkSZKUgQl2SZIkSZIkSZIyMMEuSZIkSZIkSVIGJtglSZIkSZIkScrABLskSZIkSZIkSRmYYJckSZIkSZIkKQMT7JIkSZIkSZIkZWCCXZIkSZIkSZKkDEywS5IkSZIkSZKUgQl2SZIkSZIkSZIyMMEuSZIkSZIkSVIGJtglSZIkSZIkScrABLskSZIkSZIkSRmYYJckSZIkSZIkKQMT7JIkSZIkSZIkZWCCXZIkSZIkSZKkDEywS5IkSZIkSZKUgQl2SZIkSZIkSZIyMMEuSZIkSZIkSVIGJtglSZIkSZIkScrABLskSZIkSZIkSRmYYJckSZIkSZIkKQMT7JIkSZIkSZIkZWCCXZIkSZIkSZKkDEywS5IkSZIkSZKUgQl2SZIkSZIkSZIyMMEuSZIkSZIkSVIGJtglSZIkSZIkScrABLskSZIkSZIkSRmYYJckSZIkSZIkKQMT7JIkSZIkSZIkZWCCXZIkSZIkSZKkDEywS5IkSZIkSZKUgQl2SZIkSZIkSZIyMMEuSZIkSZIkSVIGJtglSZIkSZIkScrABLskSZIkSZIkSRmYYJckSZIkSZIkKQMT7JIkSZIkSZIkZWCCXZIkSZIkSZKkDEywS5IkSZIkSZKUgQl29cKqwIZlByFJkiRJkiRJRTLBrm7bF7gBuBrYrORYJEmSJEmSJKkwJtjVTa8FfkX0YF8B+BEwo8yAJEmSJEmSJKkoJtjVLUcAZwJTa+7bBvhAOeFIkiRJkiRJktS5i4Bx4IQePd4uwNPJY9ZfngQ27VEckiRJkiRJktQ19mBX0VYCfgAs12D+dOBTvQtHkiRJkiRJkrrDBLuK9lFgfotlXkqUi5EkSZIkSZKkgWWCXUXaBHhLG8tNAj7Y5VgkSZIkSZIkqaumtl5EatsHaFwapuIRYA7Ri31N4O5uByVJkiRJkgbKasBawIpE7mohcBvwcJlBSZJGVy8GOV0LeIr0gU3HiUFPTyGS63cn932ki/FIkiRJkqTBMYfIE9xMel5hKXA+sGFZAUqSRlcvEuzvonFy/U7g2TXLfje5/7YuxiNJkiRJkgbDcUTv9EZ5hdrLPbQe+02SpEL1IsF+MelffDcCa9Qte3zN/N27GJMkSZIkSepfc4BzaS+xXnv53zKClSSNrm4n2GcAY0z8wruNKB1Tb9+aZU7rUkzqTy8A/sbEgy5SvzsT+ELZQYyY1YCrgIPKDmTEvBi4Eli57EAkSdLQm0v87ug0uT5OlKid0fuQJWmiyWUHoKGwNTCl7r4lwOHAXSnL315z/QXdCkp9aW9gO2KfkQbJocCLyg5ixGwFbA/sU3YgI2ZvYAdgs5LjkCRJw20WcCHxuyOLacCqxYUjSdmZYFcR0v6EfwL4S4PlH6pbd+3CI5IkSZIkSf3qVKLzVVZLgXsLikWScpladgAaCvWnkd8FfKbJ8ovrbu8J/KDQiCRJkqT+sSawPlFreDliIL8bgQfKDGrIjGobj+rzzsM2K996wBtzbuN64sx5lc/3lEaeCXYVYXbd7f8Gnmiy/My621sVG44kSZJUujnA8cCRwMYp88eBnyfL3NrDuIbJqLbxqD7vPGyz/rJ3Ads4s4BtKDvfU5JGTrcHOf0Ayw40skqL5ddj2cFJftSluNR/TiJe8/3KDmSA7QV8G5hediAj5gFgQdlBjJi9ic+LU0qOY9ScRrT7bmUHIg2444gefO0M1HcPML+UKAfbqLbxqD7vPGyz/vMJsg1sWrncxsSOfuod31NSHWuwqwhLa65fwLI11tPMr7s9r9BopOH2KuAoHChWkqR+NAc4Fzg9ud6OecBnuxbR8BnVNh7V552Hbda/dsmx7hjxf+ixgmJR+3xPSQ1YIkZFqK179qc2lq9PDK5UYCzSqJhUdgCSJGkZc4nOJjtkWPdgom6t9YSby9vGM4AnC42oN9y3Ojeq+8qgWCfjemPAEcDFBcai9vg5JDVhD3YVofaHx5VtLL9r3W0P9EiSJGmQzQIuJFviAWAasEJx4QylItp41eLC6ZkinveoldIY1X1lkDySYZ2FwGHAOQXHotb8jpNaMMGuIiyquX5vi2UnAwfW3bew2HAkSZKknjoV2C7H+kuBRwuKZVgV0cat/qv0oyKe96j93xrVfWWQ/LvD5S8BtgfO60Isas3vOKkFew6PhtWT6TbEAIlFqz29a1NgxSbLbg+sVnffJLoTl/rPusl0G+DpMgNpwwxgs+T61WUGUmfNZLoD0ZNAvbEcsU/4WdU72ybTdbDde2ntZLo90dtIrS0PbEyctn5dSTHsRfx59ZT5cmwMvDHnNm4H9igglmG1AcW08e4FxNJLo7hvbUb85rqVbDW212M095VBU8kZ3Ec1X5HmH8C3ie+39ZKLemsUP4cGxerEb/eViPzuQuCfxAC0ymZNol0fIfbbepXvqAms4TsaHgRWId5kD3Rh+zOpJtlvp3nidE0mnhrUrbjUf1YFVgbuBBaXHEsr04D1k+vXEwnWfrA68QX6b6wL2UsbAuPAbWUHMkIq3y1+R/TWasSgVX7GtK+yry4Fbikphg2Iz6gFJT3+qKt8N+dxP9lKJoyKym/IPAaxjUdx31qf+B1+Bc07bjUyl/jvm8egtdkgmke8vrcTr/dMqh1AnyFyCouwZnc/GMXPoX42mfitviKNcxSLiDb3/dO5yu+Nx4B7UuavB0zvaUTqKxcRf7pO6NL2N0m2P07z0cDnE2/w8brLkV2KS/3nJOI136/sQNqwJdV9tJ96ip9BxLRz2YGMmAcwcdVrexP7+iklxzFqTiPafbeyAxkgexFt9niJMdyDn1FluoGJv287udzG6NXI7tRvGc02HsV961oi9qMzrv9zRq/NBtFZRHtvXXIcam0UP4f61XFE56N22v0eIgenzpxMtN/ZDeZfQ4M2twa7ivAvotcWVHv8pjmR9LJE3TydeXngo8DpwJ5dfBxJkiSNnl2olpTLYgw4imylMEbJTjnWHdQ23g73rSx2zbHuqLaZ1Ijfcf1hDnAukdea0+Y684DPdi0iTWANdhXhKaLX1IY0/vDdEXh1yv1X0t0eV+sDH0mur4G1SSVJklScbclednMMOAJ/n7Yjtd5pGwa5jbfBfSuLrGeejnKbSY34HVe+ucAFxBhsnTqY+P607GMP2INdRakMApl2itcU4GukfzA3Ou2iKM/UXLf+lCRJkvrBQuAw4JyyAxkQzcZ4amRU23hUn3fFExnWGfU2k4rme6oYs4ALyZZchxjfYNXiwlEzJthVlMuSaVrN1uNJP63zMeDrXYso1CbYs/wwlyRJklrppHfYJcD2wHldimUYPUbUOG3XMLXxUx0sO0zPO6tHGN19ReoWv+PKcSpRLiyrpcC9BcWiFkywqyh/TqbrE6VYKrYFPtVgna/Q/ZGkTbBLkiSp204HbmmxzJXAS4lxgRZ0O6Ah8wwxsNsotvEZjObzzmoJkQy0zaTiDPN33AbAC4HXAv8JHAqsVWZAiW2BN+bcxvVYyaFnrMGuovyZ+CEzA3gu8ANgJvB9YHrK8vfQOPFeJEvESJIkqdtuBTYn6p3uC6xLtefYDcAvgH+WFt1wWMJotvECRvN557EU20wq0rB9x80hKi0cCWycMn8c+HmyzK09jKvWfxawjTML2IbaZIJdRXkKuBTYB9ifSLB/HdiywfJvJ+pyddvSmuv2YJckSVK3jAHnJhd1x6i28ag+7zxsM6lYw/KeOg44kUiyNzKJOJjwLKIM8oLuhzXBnjnXX4AJ9p6yRIyK9Jtkuj/wDuDVDZY7n0jA94IlYiRJkiRJkkbXHOLgwOk0T67Xmgd8tmsRNbd1jnXHgKOI8UvUIybYVaRfJNN1gFMaLHM/cExvwgEsESNJkiRJkjSq5gIXEfXVO3Uw6WWPuy1rvnYMOAK4uMBY1AYT7CrSVcDdyfVG+9YxwH29CQewB7skSZIkSdIomgVcCOyQcf1ptN/jvUhLWy8ywULgMOCcgmNRG6zBriKtTvNe4p8DzutRLBUm2CVJkiRJkkbPqcB2OdZfCjxYUCydeIaoBd9ux+hLiDLNC7oVkJozwT4aVk+me9O9sxaWI0Y5Xq/B/NuJnuvv6dLjN1J7Ks+eJTx+mlnASsl0eSLx/zhwD3E6zzDbNZm+AtixzEDaMK/m+vEse7CmTNsn09cQI7irN2YSn5/98BkyKjZMps/Cdu+lnZLpkcBeZQYyQDZIpstR3r66PNHDyvdK7+2STPcHViwzkCG3AjCF0drHK70t9yXe36Ni1WS6L8v+Hm/XKpT7eaz2VOpLv574H6z+NOjfcWsBb8y5jfuAdxYQS6cmA48A40SJm0buJMrfXAcc3oO4hl1ln9+c9O+R1RqtaIJ9NMxMpmuQb6CERiYRyft1Gsx/AvgLsGUXHruV2n18dbrz/NuxMvEHfE3iR1+aMeAu4Brg4R7F1WuVD6P5lFPHrBMr1VzforQoJlo5mW5EOaeqjaopxJ/bsj5DRlHlT/Wq2O69VElsbMhg/pEqQ2VfnUx5++pU4veY75XeW6tmavt3z3KU+x4rw7rJdE1G63nPSKZZv/+nM3r7yiCq/I/ZmOpvD/WfQf+O262AbdxBOc+90nv9Z0SubQ2iQ8U48CRRDuZOqgOZblVCjMOo8nm0Eumv+4yU+zRCLiLehCd0aftfTrafdlkM7Nylx23H9JpY8h65zGJD4H+I04oqcfwUOIRI+E8hEu47AR8CbiR6Sp9EfKAOm5OINtiv7EDasCXV12xWybHUOoOIqcz31Sh6AE+367W9iX290aDZ6o7TiHYv4g/JqNiLaLPHS4zhHvyMKssxxOt/bNmBDLk7GL1erkcS+9bbyw6kx64lnvfRGde/kXI/j9Wes4jXeRCTtqNk0L/jbqZxrqqdy23A7J5HHZ4E/l7SY4+yk4nX/uwG86+hwf5SRg/2YymurMECPPWrbO8A3tRk/rHAX3sUS5ragSF6XYN9b+Bcqj2hlwJHEQn3Wg8llyuATxNteiLRI+51vQhUkiRJkiRpSKxBnCGR1RiRv3ms1YISlFMiZk/g5QVt60ZMsJfpYFr3LGw26Gkv1NbN7mUshwA/YtkyKN9iYnK93jNEm15D9HS/iej1LUmSJEmSpNbylB4aA44ALi4oFo2AMhLsM2uuPwR8H7gVuJ84BeKHdcu/kTjFay5Rf+4wYNOUbam3Nge+R+NBU58m6hUfQrzGZamUZplE73qwb0y0TX2N8a+1se4+wAep1vz+JPAL4OrCopMkSZIkSVK9hcBrgPPKDkSDpcwE+41EDeFFdfPvJhLpFecn91V8APg2caqGCfZyzCF6Vzca/OynRLmTjxOjTU9m2VItvbaESPbXJ9inEPtQkTX6phK1murrdD0CXNZi3RcSbVf/vjwZOKCQ6CRJkiRJkkbDEmKg7HZcArwax7VRBo16H3dTJSn+ViYm19t1PPAUJtjLMIXokb5pg/l/Jk6l+Vlyey7lD8ZYSawvIQ7efBq4Ibn9GDFo0vuI55bX4cSApfX+RvSkb2Q5ood72kGv5xOjRkuSJEmSJKk9vwRuabHMlcBLiZLWC7odkIZTWT3YHwR+m2MbDwO/A55XREDqyCeBFzSY90+iJMwTREL5fmA1ovf15T2JLl2l9vpLid7lK9TNX5tIum8LvCrnY72rwf33tFhvlySONJOA51BuqR1JkiRJkqRBch+RCzoY2BdYl6iwcC/R8fIXRC5LyqWMBPsngPVYdvDJLE4Hbs8fjjqwN40HlX2YKHHyQHJ7HLgQeCWwH3Bit4NrotKD/fXEYBWnApcCewBvr1nuCODXwFkZH2dNYMcG8x5sse7cFvPX6DwcSZIkSZKkkTYGnJtcpK4oo0TMz4AvF7CdnxMDoNbbmeiNfAHRa/gWYnCC40h/vpOJ00BOIwZbfWty/yFEovVW4F/EG3GHFjFtCHwYOAe4mTgi9jvg88TRsmZWAI4mktIXJvcdBPyY6An+U+JIW1mmAl8kelPXGycGgbi57v7K89gNmNW90FpaUnP9VUQv83OAdwDfrVv2fTkeZ36TeU+0WLfVEdO7W8yXJEmSJEmS1GNl9GDvlklE4vTTxPMaI5Ln84jE9yFEb+pDiN7WAF8AXs6yvYNXoTqIaq11iQE79yXqjNd7A5GkX4Go630NUQ7nucnlbcAPgTezbG/m/YDXAi+hmoS+gkj+nlqz3IuIsisfadwEXfVmYKsG806mWnO91kXJdBpR4uRXXYirHZUe7DcDP6qb9zXgyJrbmxGlWu7M8Djzm8xrdcbG9cRBoeenzLuPOKAkSZIkSZIkqY+U0YO9W04HPgMsJOorzSCS3afULLMHUaKm4jHgybrtfJRIrt8J/IBla4fPJGqQ1/sM8I3k8S4GNiB6xa9DJPDHkuUOJwZPWKlm3XcRpUlqe3jvVBd3xaop9/XCqkS7pPkj8KEG826lWsZnn4Jj6kSlB/vfU+bdmHLfahkfJ+t6FS9j4gGAB4EXE/uqJEmSJEmSpD4yLAn27YE3JdffDPyE6DH8BFEz/OqaZY8FNkmuf5Dolb20bntnA5sSPd53J0YdrtiXZZPhOxK9zQEeIcq61PZQP4eo/V2xHtHju+JAYGUmllf5O9H7/nAiCXwX8C3K8QkixnoPEgcHxlLmVVQGsy0zwV7pwb44Zd70lPuy1vafmXG9ikeJ13sr4BjgFcDGRL14SZIkSZIkSX0mrZ522e4iBousWIvW9ad/AzwvWW6tlPkfYNme528GvlJzewGwfnL9R0SSs9ZLiFroFVsSow0DXAbsklz/JI17c19JtYb7OFGXvLZ3/A9qHncpsAXwjwbb6tRtRPmSvzMxkd/K8kTZkrR95XJal1JZj+iRXxn09BmiR/mSZisVbB9gDvBv4K9189YgDqJUPAj8IePjbAFs3mDeP4DrMm530CxPnKUxHZhCnCXyIHHAayvi4NWfiNI3/Ww2UcIJ4v3fL5+X2xNnyfyOarkrFaPZvnsQcTCxrFJXw6pZm69KlBe7mfQzkJRds3bfFtgI+D3wUFkBDpjKvjoGnF9SDC8kfmP5GdV784nf+H8jfnOrO15AdA77v7ID6aF1ifHFrqX1eE3D5HnAisR//Cxn8T6f6Ph0XpFBqXA7EbmCC4mOZupP8xnc77gVic+T24l83KA5FHic6tiG6o2tiU7ZdwB/SZlf+Y6aYBhqsM8hniBEYv6ulGXqS6vswbIJ9kU119OS+fU9mlep2e4uNfdf1iTOrwJnJNcnET3haxPsj9Rcv4HikutQ/WFyM/FDpROHk55YvJLmPepnEB/Eyye3J1FNVkJ8UCwgkiZXkN67vCjbE/vJPUx8/vUD5Z5N1EPPYiaNE+wLUh57mMwkDmTsQnqpnHHiAMO9RIL9StLL8/STNanus7+n+ZkavbQakWC/jBiAWfm0u++OEUnIYX4f90q7bf4XImn5L2z3IrTb7vcTCfa/MHh/pMqyMbGvPkN5++p+ROcF3yu992ziN++NROlEdcc+xAHBUdrHdyES7DdRPSt4FOxKJC8WAFdlWP/ZxBhgo7SvDKI1iQT7n0nP4ag/DPJ33FpErvBOBvPz4BAiVzmIsQ+y2USC/V7S277yHTUQ7iL+5FUuazZfnGfVLX9xG5f6OurX1az/+ZTH2LLuMfZI7t+r7v79UtatWK1u2e/Wzf9qzbz6XtZ5XZRs94QO15tM/NEer7s8xrIDw9aaSpwx8FDKeo0ujxFlaPKWWGnkD6S3+XOIswUqcZyV83H+i8bP8aSc2+5nxxE9qdt5rR+n9XulX9S+72e1WLaXziBi2rnsQIZAJ/vuM8RRbOXTSZtXvkfSxiRRZzpp90VUz7RTeyq/Bx8vMYZ7iGSUeu8Y4vU/tuxAhtwdxH4+So4k9q23lx1Ij11LPO+jM65/I+V+Hqs9ZxGv89Ylx6HmBvk7bmsi9m+UHUhGT+JZvGU4mdhvzm4w/xoa/I8ahh7sm9Rc/y3RM7xXtqi7XV/Lvdb9xKnXlSRy/br9aDPSB1b9DOk/cNcmSuzsnjKvmRWIevivIAaovbbD9Vup1GCfUnPfysD/o9o7/1dM7M3eqVH7ITeH+GF0aAfrLN96Eanrsuy7k0kfi0LtydLmtnd+Wdq9nw4oSpIkSVLfG4ZBTteuud6oPEe31P8JbdXbvvbUp6cbLtU/0nrILgJOS7l/daKnfKfJ9VobA5cQPcuLVKn3Pi2ZziZq8m2c3P4ccDDwVM7HGaVatXOJ17uTpE2taa0Xkboiz747E/fdLPJ+XgxDZ4Ay+DktSZIkST0wDAn2B2qur0l7Pd6K6kV7U93t+S2Wr+3hnrXOdy9tm3Lf2UwchGQScA5RWzuvFYjBi4o8WFI5mLEyMI8402FP4mDBK4F3Ukx97Wa14/IkiA4ATsyxftFmEQNt7NBqwSYcnFNlyLvvTmKA6q31iSI+L+rHQVFrRbR7loHlJEmSJGnkDEOC/Za62+9osfwWwH3AGwp47Ovqbr+kxfK1Pdzr1+1H66fcd1bKfcfSvNf5YqoJ7Ept12ZWAH6cTItQ6cG+JTGIyk7A1cn0BwU9BjSvfTojx3bfSQwu0i+aFDXVAAAgAElEQVROBbbLsf5Sih9nQGpHEfvuIy2XUq0i2vyLBcUySopod2s+SpIkSVIb+jHBXt/Td1LqUlX1CfYTiNGo06xMNaH68w7jSvMvlq1FvhONe3FvSDVhPA78voDH77Z5dbfvIUq41JoKvD9l3YXEYLLbEiVZKuudS/QA3Rf4FlGXPs0WFDewXaUH+zziLIMvEYO31Z+BkNctTOzdX5FWy74dKwN7A7/OuH7RtiR/rfrrqR70ULqNiQN2byIGtnoFsG6pEQ2+7Slm3y3ibJdRsQ5+XpRha2x3SZIkSeqZfkyw15d4aVXy5U6WTVbPBC4A9qhbbhvgD8n0iyybGG9VvmNm3e1K0n8ceHfdvPc22EbtqMtnAVfUza99Lfql7ml9KZ3zmDiQ6wFMTPxdRAw++yFiwNKlwOXJvB2JwUB/C7yWSKT/qsHjvwHYKEPc9WqT+KcAxxEjMhftGdJ7+AOslXGbxxL723czrl+0owrYxpkFbGMYzQE+AtycXH4MfJkYI+BsokzG+ViiJKs3FbAN993OPLeAbdjmnXttAduw3SVJkiSpTf2WYN+eicnundpY7311tzclkul/AX4I/IkoCbI18DeiZ3XFFJbtqT0/Zfsb1N2uXf67REK54vXAMXXL70o1wf4Q8J6Ux6hNwK5HfyTZ688euDhlmefV3b4UOBC4v+7+y5LpZiw7OOztyfJpJQCmEkn6vL4NXAmczMR9pWj/TXrd2i0ybGsVouTRN4kDSf1g15zrL8DETZrjgNuAj1IdfLfeJGIw3hf3KKZhs1fO9RfgvtupRvtyuxZgm2eRZ7BxsN0lSZIkqSP9kGCfDBxKJD5/kjL/c8AngJcDcxts48/EIJC1tb0nAzsn6z2bSE7dRPS4rpTx2BL4DLBSzXoHAkcT9cdnAPsRSa9aHyASy5W62kcAv6iZ/yXgO0Sy/WPAb4gyKTcA+7DswKy7JM9v/5r7ViIS988FVm/wnHuhvnzLpSnLbFVzfYzoOfd0ynKVBPtk4kBKrXHgrcA3UtZ7CfkGCIU4w2En4uyCZ3Juq5W7iDJF9Val8yT7acQBoCIOMhRl7RzrjhE94B04r2oOUTbp9OR6O+rPqFF70saUaJf7bjaNvrPbYZtnl6eclO0uSZIkSQNoCvAgkWRtdTm4xbYOIXpe1a+3EPggy/acBriqyWP9L1FOplk8+9VsaxJRKznt8e8jSj3UPz4Nlq+9fLvFc27HRcm20hK/zZxfE8dS4rWqd0XNMj9rsb27k+WOazB/BlFSpr4N8vY8LcMXmfg8PtPB+u9O1jm8+NByafaeaXZZAryshHjz2JJq/Gnv3bzmEmdWZGnPcfpr4NtBcD+js+/2i89gm5fhRmz3XtuLaMPHS4zhHpoPtq7uOYZ4/Y9ttaByuYNlS3yOgiOJfevtZQfSY5X/g0dnXP9Gyv08VnvOIl7nrUuOQ819jXidvkP2srdl2ZqIPa0j5yB4Evh72UGMoJOJ/ebsBvOvocH/qbw9g4vwDPl6udU6P7msBuwATCd6rd9K+sB0O7SxzVaDrFaMEz2OTyNKe+xAJOWuJgZDbWR+m9svw1011x8jvfd37SBo9QOg1rsceBGN2/1J4iDAL+vu350o+TNIjiMOrHyYag/8txKD6/6uyXqTiB7rHwdOJUoc9ZM/MvEMhFYWAq8havgrzAIuBLbLsY1HCoplVFxAnG3UCffdfG7IsI5tnt/viHJsnbDdJUmSVG96Mj0yuVxF5DT+j8jvdLtCgDQw+qFETDfcD/yaSLb/g/Tkejc9RCTPzqd5cr3f/bPm+qMNlrmj5nqrU8r/lky3bbLMr2qWq1ijxXb71ceJgwPXJLenE8/vU8A6dctOI8oTXZKsdxLwrt6E2ZHP0VnpgEuIhLxJm2WdSr7k+lJiIFS17yO47/baz7DNy3AytrskSZKKtwPRIfAS4qyi7xCdmFYpMyipH7TbO1uD7T6iV/+jwKIO1ptO9YNyKXBvyjIrEPXlIU7Fa/anfgawMtHbv9kpnrOT7VY8weD31p0OLE/1CDDE0d6lxPtwSjJdQrxOaXXs+8U0ol54WsmgiiXE/vBkTyLqjqnE+wZiMN6iBh6u3W5WY0wcSFitjcq+209s83LY7r01jTgbs9Xvm7ymJpfJxG+GpcTvhWeAeVTLEqq3ZhHjJy0EFpccyzBbndjv0/6PDKuZxGd5p//hBt1qxGfdNWT7zbwa8f03aiWFBs1KxOfn/fS+Q6TaV3md2vE08FRyWdJi2V6o/O9eTHxHD5o1iN94/u/vrRWJ3F2jPGTlO2qCfigRo+67hdgJ/h9xhLFds4n67ZOTyyuY+ONuPaqD095OnGLeyFpEr/5JwFuS5dPsAXyh5vYfiIFlh8E0YCNiwMWViDfuU8Q4BNcCd5YXWkcmE2cibE4chBknfvzfTdQJG4Y/+BsCP0quH0G8TkU4gc5LldT7PPA/BcQyikZh3+03tnk5bPfe2RH4OnGwotV4QZ2aTXxnvBBYM2X+OHAxkYh7oguPr9ZeTJQE/DJwTsmxDLNfEP9dR2kffyFwIvH5Mkq/+35I/F/6EVGGolM/Jg7IjNK+MojWA3YlPjfHS45Fjb2SGB+uHdOSy2ziYOjFwJ+IUjJPdCW65jYiPk9+TXyWDppLgX/Tf+PyDbvjibzmH4H3p8z/AbBxTyNSX8k6yClEqZtK0f5921jmOS2291Cy3MubLLMjyw4W8OUO4pWK0q1BTi+nwaAYbV5uo3rWiCSpfN0a5PQ44GHa+254hmXL9ql3HOS0NxzkdHQ4yKnUPyrfcXkuTxLj7L2NSHr3ioOcKovMg5wOaw12FefrNddf1GCZDxOnKQOcSfTMbuTqZLpNk2Xqy6P8o8my0qBZL8e6Y8BRdFZfWZI0WOYA5wKnJ9fbMZkowydJktRPpgMHEGdh/5M4CHYq8DyKK8Mqlc4Eu1r5X6oDtR5FlDSpVxmYE2AT4hSc1Rts74ZkukWTx5xXd/svrcOUBkbWGppjRJmAiwuMRZLUX+YSZx4emmHdmfhHVZIkFefXwEeonoVdhM2AdwC/AR4gck5vIL0UnjQwTLCrlSXEBypEDdd3NljuY1RLuewCXEnUDaxXSbBv3uQxd6m5/iDw57YilQbDbzOssxA4DGu7StIwm0WU3dsh4/qTaH4WoSRJUif+RXSm3JUYdPO1RF3zogYNnQ28lCjjchdwBVEvfTdisGJpYJhgVzu+TQywADHYaKPe528hBsAYA9YmBjRdo26ZSoJ9Exp/YL6i5vqZRF1RaVh8ms5KvFwCbA+c151wJEl94lRguxzrLyVqtkuSJBXtPuBbRL5mNWBvol71dQU+xo7Ah4j80z3Ad4iBVi2Dp75ngl3tWAq8nhj5eQbwExr3kDoF2InogXUucH/d/EqCfTqwQcr6B1H9c/k4cFrmqKX+dAtRg+6WFstdSRzN3xNY0OWYJEnl2h54Y85tXE90clBvLaqbqjsWMXpt7L6VzSjuK1KvLQF+D7yXGEx0A6LD5c+JwTmLsCox2PP3iVIyfwTeR4znN6mgx5CkjlxE1Ms6Ied2XkV1hNxLgRUzbufxZBsH1t2/InBbzWO8I+P2pSJsSXVfnNWF7U8hDka9htjXjydOudufieMQSJL6117Ed8XjObbxVarfOVkvb8/x+MpuBvByoga+umcnYOeyg+ix6cS+lTYG1jC7lvhMOzrj+tsAuxcXjqQOzSTKBX+RZfM7RV7+BZwBHELjz8itk2W/UfDz65Ungb+XHcQIOpnYb85uMP8aGu+XGgFFJdgBPkx157kJ2DbDNv6erP+WmvumED3jK9v+KR6VVLm6nWCXJA2HIhLsN5Dvj+ZtRB1TSRp0eRPskvrHJOJ/9QnEWGRLKD7Z/iTwS+CtwIY1j22CXVlkTrBbIkadOpEY5AJgU+Ay4oNsuQ62sSCZbpRM5xAjR784uf1H4Ag8AiRJkkbD+jnWHQOOorPxPSRJkrptnChhdwqwD1H25eXAWURN9yJMJ0qwfoEow3oj8FliYFZJKlSRPdgrXkvUZK8crVkAHEN7pzB+MVnnV8CbgTtrtvOTNrchdZs92CVJ7SiiB/v9ZOu1tQR4WY7HlaR+Yw92aTRMJkp/fQS4nO6UkhkH/tyrJ1Qwe7CXI3MP9qk9CU/D6CziQ/CbwC5Ez6uvA18C/kAMcnoHcC+wmKhPORtYC9gi2cb+yQXiT+mHgc9jz3VJkjRaLiDO3uvEQmIcj/OKD0eSJKmrlgJ/TS4fI8YhewFwENEjPeuYf/VWLmg7UlMm2EfDtGS6MjC/wO0uBl5JDGBxLFHjahqwX3Jpx/1EeZhvAfeQ7xRpqUhr11xfj+JGQ5ckDZc1kukksv/O+hrwIto/i+8KYlDTO3I8piT1o8p/11Xx800aNb9PLh8gBrfelygts0mObU5lMD9LJhGlmOeXHMeoWSmZLk96209LuQ9wEMlR8SCwClGj85kuPs4k4jSfycn1tP2rcvpEpf7/U12MR8pjEtUPz4XEWRiSJNWbTPwBGgeezrmdqTT/fT5O/J5bmuNxJKmfTSM+B28ENig5Fkn9oTbX1OlYknl/n5VlGtVygOqdqcAU4rd2WttXvqM0orpRg70dyxGJ/VVYdhDULagm2ldKWU+SJGkUTQa2InqzHwUcSQwC/2xgbolxSZIk9YNZRBWFLxFjAbaqwf6tUqLMb1OixLKkPlJWgr2RNah+2FkSRpIkSZIkSZ2YBGwJvBv4HXGWX32C/RtlBafR0umpFVIRFtdcn11aFJIkSZKk/6+9Ow+XoywTNn6fQHaEhABBkEVAjQgmqGAQXAARR0FUVAZZFGQG/OQb1EFlRh3cZsNhmUEdZURRGQUFRZRPhQEdZHAbkUU22YKELWwJSxZykvP98VR7Op3uPtXV1V1V3ffvuvrq7uqq6qe3quqn3vd5JamKxoCbgc8CryHGbngH0Wp9SXFhaRg5yKmKUF93fXphUUiSJEmSJGkQLAW+k1wmEQOlzio0Ig0NW7Ari/2Bi4kzgquA24CPk34QyPqBuSa3nEuSJEmSJEnqzFrgN8DlRQciaXDkVYN9Q+AcWg8ecTWwUYr1zKxbZo8uY5IkSZIkSZKkQtiCXZ34N+CYNo/vBXwhxXrqy8Ks6CoiSZIkSZIkSSqICXaltStwfIr5jgCeN8E89QObLm85lyRJkiRJkiSVmAl2pXUwMJJivhFgvwnm2abutiM7S5IkSZIkSaokE+xKa6sO5t1igsd3TK4fB57MFo4kSZIkSZIkFcsEu9Ja2sG8E7VK3ze5viVjLJIkSZIkSZJUOBPsSuv+lPONAj9q8/gU4IDk9qVdRSRJkiRJkiRJBTLBrrSuSjnfGcA9bR4/Ctg8uX1xVxFJkiRJkiRJktRjVwJjwEldrufuZD2tLp8DNmiz/EZ16zC5LkmSJEmSJKnSNiw6AFXKPwBnJ7dXAecCM4DFwIXAtRMsfxqwPbAGOKUnEUqSJEmSJEmSlKO8WrBvAPyW8RbrP6R9i/V6H65b7m+6jEOSJEmSJEmSpL7IK8EOsC3wEOPJ8quA57SZfyZwVt383wdGcohDkiRJkiRJkqSeyzPBDvBiYiDTWtJ8OfB14G3A7sB84A3A6cADdfNdBEzJKQZJkiRJkiRJknou7wQ7wFzgu7Qf9LR2eZooC5O2nIwkSZIkSZIkSaXQiwR7zULgy8D9rJ9YvwX4FFFWRpIkSZIkSZIGyoZFB6DK+2VyAdiEaNm+mki4ryoqKEmSJEmSJEnqNRPsytOy5CJJkiRJkiRJA88Eu/IwCTgSeDtRZ/1xYjDTS4FvYkt2SZIkSZIkSVJF9bIG+xTgsmT9n6qbvjHweeB3wEY9eF5JkiRJkiRJknqulwn2kxgf1HTzhsdGgDuA43vwvJIkSZIkSZJUqElFB6DKe13d7Zc3PDYG3AU8q3/hSJIkSZIkSVJ/mGBXt5bW3T4f+AgwNbm/ObAn8IN+ByVJkiRJkiRJUh56WSLmAMZLxNQudwKHEIn1f+nBc0qSJEmSJEmS1Be9TLADnMz6SfYxYDnwvB49pyRJkiRJkiQVyhIx6tazgLcAnwV+3PDYdOA3wPx+ByVJkiRJkiRJUh562YL9POA/6u6/HriZdVuy/7wHzytJkiRJkiRJUs/1KsG+ObAW2LZh+obAPzGeYB9NpkmSJEmSJEnSwLBEjLoxHRghEuj1Rom67IuT+2uSiyRJkiRJkiQNDBPs6sYfiXIw727x+FPJ9SVES3ZJkiRJkiRJkiqllzXYX0wk2j8ATKmbfnTynLcCz+7B80qSJEmSJElSoayLrW7dAMwDDgA+CKwCphLlYw4GLgNWFhadJEmSJEmSJPWICXblYTnwvaKDkCRJkiRJkqR+sga7JEmSJEmSJEkZmGCXJEmSJEmSJCkDE+ySJEmSJEmSJGVggl2SJEmSJEmSpAxMsEuSJEmSJEmSlIEJdkmSJEmSJEmSMjDBLkmSJEmSJElSBibYJUmSJEmSJEnKwAS7JEmSJEmSJEkZmGCXJEmSJEmSJCkDE+ySJEmSJEmSJGVggl2SJEmSJEmSpAxMsEuSJEmSJEmSlIEJdkmSJEmSJEmSMjDBLkmSJEmSJElSBibYJUmSJEmSJEnKwAS7JEmSJEmSJEkZmGCXJEmSJEmSJCkDE+ySJEmSJEmSJGVggl2SJEmSJEmSpAxMsEuSJEmSJEmSlIEJdkmSJEmSJEmSMjDBLkmSJEmSJElSBibYJUmSJEmSJJXV5sAmRQchtWKCXZIkSZIkSVIZvR1YAjwG7FNwLFJTJtglSZIkSZIkldGM5HoSML3IQKRWTLBLkiRJkiRJKqM1dbdHC4tCasMEuyRJkiRJkqQyWlt32wS7SskEuyRJkiRJkqQysgW7Ss8EuyRJkiRJkqQyWtPitlQaGxYdgCRJkiRJkiQ1YYmY5p4D7ARsCkwBHgFuBB4qMqhhZYJdkiRJkiRJUhmNtrg9jGYBJwJHEMn1RmPApck8d/UxrqFngl2SJEmSJElSGdmCPZwAfJpIsrcyAhwI7A4sBBb1PiyBCXZJkiRJkiRJ5dQ4yOkIsD2wAJifXEaAPwdW9ju4PpgFnAsc3MEyc4HTgEN6EZDWZ4JdkiRJkiRJUhnVt2D/T+C5wMZN5tsF+N++RNQ/c4DLgd0yLHsgMI3BPOlQOpOKDkCSJEmSJEmSmqgvCzOf5sl1gA36EEs/zQCuIFtyHWLg083yC0ftmGCXJEmSJEmSVEZrJ54FGLwE++nECYWs1gIP5RSLJmCJGEmSJEmSNCy2B+YBWxAtPJcQZSXuLzAmSa31MsG+PcVuD14M/LDJ9MnAll2uew1wZ5PpHwW+0eW61cAEuyRJkiRJGmSzgBOBI4Cdmjw+BlyazHNXH+OSNLHRFtPXALcSNdlnkD7BXqbtwWRgmz6ve2aPnm+omWCXJEmSJEmD6gTg00RSrZURYkDA3YGFwKLehyUppfoW7OcCvwR+B9wIrABuJxLlaRLsZdse3Am8pcn0M4jW9VktAd5PvD+NrutivdJQu5I4A3dS0YFIkiRJktQHs4CLif/CnVwuKiJYSS3twfjvs9mgnXcnj72uzTqqtj0Y7SDGxstqYO/+hzzcbMEuSZIkSZIGyRzgcmC3DMseCEwDVuYakaSs1rS4XVNrud4qx9nt9mAqsCrDst2YlHG5UeAw4OocY1EKWT8wSZIkSZKkspkBXEG2ZBrEQIfNWslKKkZ9Ur1ZPfZaYr1ZiZg8tgftysn0StqBXestAw4BLsw5FqVgC3ZJkiRJkjQoTgfmd7H8WuChnGKR1L36ZHO7FuzNEux5bA8e7WL5rNYQteDTNoy+Bjgcx48ojAl2SZIkSZI0COYBx3W5jpuJGsYq1k7ArsCWRImOB4gk4r1FBqWmev1Z1SfYO2nBvoB8tgfNnrPXxoB7iNe+Y5v5rgU+w3h9eRXEBLskSZKkfpkKbEJ0t65dGu83m7YYeH0B8UqqlsNyWMc5OaxD2cwCTgSOIJK2jcaAS5N57upjXFpfPz+r+gR3Jy3Y39vl80Kx24PlxEmCA4F9gW0Y72FzC/Aj4I7CotM6TLBLkiRJSmMEmE66hHiradMyPncRrcckVc/Lu1x+ESbYi3IC8Gna17seIZKNuwMLsRxGUfr9WU1UIqZVC/Z9u3hOKMf2YJRonX5xwXFoAibYJUmSpOEwAmxEZwnxxmmT+x51mFLQ80qqlr26WHYUOBJ4MqdYlM4s4Fzg4A6WmQucRgzoqP4p6rNa03DdqFkL9i1p3rI+LbcH6ogJdkmSJKnaDiX+SKZJkqcdLKtsti06AEmV0GyQwzRGifIyV+cYiyY2B7gc2C3DsgcSvaJW5hqRWun2s5pM9rENaon1Vr3ZmrVg3yzjc9Wex+2BOmKCXZIkSaq2fyVaiA2yqp4YkNRfK4hSVp1YBhwFXJJ/OGpjBnAFMD/j8lOIJOri3CJSK3l8VhsBj2dcPksL9qzcHigTE+ySJEmSJGkQLAVmEyWx0rgGOBxreRfhdLInbGF8sEf1Xh6f1RNdLg/RsnwasAvRkr52qf3emyXYV5O+vJ3bA2Vmgn047JxcHwlslfO6NwaeQ5yNnEls+FYR3bSeAh5MrqWqmUEMyALwM9IfpEtSle1IDBB3EbE/18Q2ARYQf+CuKSiGOQU9bz9NJv7gSxpsLyP+V/6KbKU/ZhOtXJ+i/QCMS5LnuAP4qwzPo+48Czi2y3U8DvxzDrH0yiyihf1MIvH7NHA/1avpvTlwRJfreBz4bBfLz0yuNybex1a92g4FXpjcrh0b3QtsSvW2BxsS5f889umvHYBtgIeBm5s8XttHrccE+3BYSnQbfozWNas6tQvwEsa7I68gNnRTiWR7fTLySeIM4A3EDkWqgsnEdxzgp7TujiZJg2RrYt++Ce6z05pO7C9WA1cVFEMeXaL74RkiYbaq7jLR/VXA0eR7HCupvF5IJCXvAu7OsPxYcjmHOGm8LZHMHQOWA48m681aqkL5yKPh3/WUb78wFXgp0chxdot57gSuJPI0VbBrDuvo9rOqr93ermTcWN3z1P6/Pw18j2puD+pfj/rj2cRx/a1EDrPRPOKkk4bUlcQP86Qc1jUf+HWyvqeJs5AvaJhnMvBmYgCMsYbL74A35RCH1Gs7M/69nVFwLJLUL2cS272FRQdSIa8i3rMie+ytYf1jrrwvo8AjROuu3xK1WC8CvkK0rvo7otXXu4CDgVcTx43bE63GujkJsBK4rovlJVXHjcQ2510Zl78Ve1BXwal0t0+6m0iUlskJRKI2TfwPEvvHstuAeK+L/qzmpHyu+tbnuyTTvtzlcxdlJfD7ooMYQrVt0/ktHr+BFt8/W7CrE/sD3yVaqN8CvJU4gGm0Grg4uZwAnEYMagHRhfr7wAXExm9Jb0OWJEkS0RJ8ad1lWYvbre4/TfyBkCSpWwd0sewoUf62LKVWZgHnEieX05pL5EkO6UVAOXoz3Z0IyOuzStubvCo9+jSATLArrYOIVkqTgZuAfYiaRBP5HJFEv6Bh+qHA3sB+wG35hSlJkjR0lhMNHE6mdQI9Sy1jSZJ6Ie2gk41GgcOAq3OMpRtziJ77u2VY9kDifVg90YwFalXmJo08P6tniJP8jaWIbyQaf74nmWaCXYUxwa405gH/SWz8lxLJ9jTJ9ZpvEy3X/6Zh+tZE9+LdgQcaHtsE+ABRJ+sa4GysgS1JktTM00QC/eyiA5EkKYUs9ceXAUcBl+QcS1YziHzG/IzLTyGqA5S1/nc38v6slgPvI+pjX59c7iSS7rMxwa4SMMGuiUwmysLUamZ9hGyDzXwKeCewXcP0rYnk/X6MdzueSpzl3CW5fwSwBzHAlSRJkiRJqq57gT07mP8a4HBgUU+iyeZ0sifXAdYCT+QUS6+tBKalnLdXn9W/t5hen9c0wa7CmGDXRN5DjOQOMajVORnXsxL4WyKZ3mgfYgN8XnL/tYwn12veDfw18FjG51f/7ESMNL4lcbLkAWIne2+RQUkp+N2VJKm6hnU/PqyvW9W2Irm+F9imzXzXAp8hxncr0zggC4DjulzHzVSnl/5ZxBh8O7aZp6jPygS7SsEEu9qZAny07v4vgA8R5VtuB35AZ6VivgOcCWze5LGPMZ5gn9Fi+RmYYC+rWcCJRG+DnZo8PgZcmsxzVx/jkibid1eSpOoa1v34sL5uDZ6DiEE09yES7WuBh4BbgR8TjfzK6L05rCNr48Ui3EWUDn4j5fus6uv5m+OU1FNXEgdZJ3W43P7Jcq0uT9L5juXMNutbmMyzGfBIw2P/0+HzqH9OIOrGtfuu1C4P0t0o5P20M+Nxtzrpo2ob1O+u1I3afnrhRDPqT15FvGdPFRjDg5Sr23zeVgLXFR2ESmdY9+OD/rpvJGJ/V8blb6XY7bHSOZf4nBt7rlfBdGAx6X6DrS53M16Gt8yOJeI9vuhA2tiB8ff1M3XTd0mmfbmIoHKwEvh90UEMoVOJ7835LR6/gRa/60l9CU9V9foJHt8I+AJxkJfW5Sme7xEiuX8ZcRb0PKI7ksplFtH966zkdhpzgdN6FpGUjt9dSZKqa1j348P6uqWyeRsxllxWo8CRRINFda++BbslYlQYu0+onb1Szncq8D3gvhTz/m+bx/aou/074ICUz6/+m0OcLNktw7IHEgOkrMw1Iimdbr+7U4Bnco1IkiSlNazHoN2+7snA6lwjkobXzC6WHQUOA67OKRZZg10lYQt2tbNlyvmmE4OUpvEQ0UK9mXYDZqg8ZgBXkO0AHyJBuVl+4Uip5fHd3Ti/cCRJUgeG9Rg0j9ddhVIU0qBbBhwCXFh0IAPGBLtKwQS72tmig3lf3MG8j7eYPruDdag4pwPzu1i+NhiK1G95fHeX5hSLJEnqzLAeg+bxupflFIukcZ30hrkGWABc0qNYhpklYlQKI0UHoL5YTNQIuwe4v4Pl9iD9BqcrPd0AABsJSURBVOoR4PaU8+5K1G9vNAr8JuU6qmxDoiXJ5OT2WqLL5vLkdplNJw4MurEcuD6HWHqt/rX+nP6W1JpGtFaaTJwIfYao0Wdpkuxm0tmJwGaq8t2VurE98GxiUCVrg6azMfAiYA3w64JieBlxDHFtQc/fay8HVhADS6k/ynYsMoPuksxQzf34MB6/zCc+7/8hW4PABcBU4Fd5BqXc7QRsTnw3lxccS6fmEgNr3keUb5rWZt6niXzMY32Iqxe2ICoN3EV5T1BOBV5A7K/uBZYk02v7jSXAncWE1pWXEydxqrT9HgTbAVsBjwJ/aPJ4bR+1HmuwD4clRIL9v4Hvd7Dcp4g/jGlcBlyUct7P0jzBvgz4l5TrqJrtgVcRB8jb0/zk1krgOuA7wKI+xdWpI+g+wX4B8MMcYum15wD/mtz+Ar3/QzkTeCPwapqXZxoDfgt8hfIe3JTZ8TmsoyrfXakbxxDbov+k+UGl1rcz8GniZHlRxzHnFPz8vXY+8DCD+/rKoszHIkfQfYK9ivvxYTx+OQPYljhhmaVO9VlE0tPtRbn9X+A1wLnAHwuNpHMHAH9JtEb/KbALMI/okT9GnIx8ALiJ8WRvVb0WeC/wX8BPCo6lU9sS25Mbif/zVXM+keR1W9ZfRwEHA7cSPcganU4k4QfSPwHfTnE5D/gc8BniAG37AmItypXEhv6kDpc7NFluossocQY6rdtbrKcXZ+amAW8nEgbzerD+iewAfJNoVVZ7nd8HDiLOBm8AbAq8FPgY8SNeQ3yvy9jD5DrSfSdaXe6mOjUgd2Y87qZnKHN0AlE6Kc17+CDDtf3Kw2TifRuW767UjTOJ7/zCogOpkFcR79lTBcbwIOU9OZ+HWiME9U7Zj0WuTxnbIO3HN2I4j19uJGJ/V8blb6XY7bHSOZf4nHcpOI4sjidiP7boQPrgWOK15nGyr992IWL/ctGBZLSS6FGq/jqV+N6c3+LxG2ixzx2EFuwriDPUexFdQzpxHfAJOmvVPUwuAN4BvHWC+b4A3JFynZOIM4nNpC0x04kdiBMsEIOJvL0Hz9HKa4CLgU2S+2uBI4mEe73HkstvgX8EPkC0hJsLHN2PQDvwwi6WHSVevyUHxs0iDi4P7mCZucBpxAA5SmdP4n3Lyu+uJGlQVeVYZBiPQd+Axy+SJFXCIAxy+klgP6Iu1BMNj32XOGv1CqI19imsW4N8AZEA/WTvw6ysw4H/IM7INPMN4EMdrG9Hov54Mzd2sJ601tTdXt2D9bdyEPBjxpPrAF9j/eR6ozVEF6CDgT8HTu5JdP03ChxGtm6eg2oO0bukkz+0NQfSvtaf1tVqm5OG311J0qAahmORKu/HPX6RJKkiBiHBXnMfUWO83mVE3atfEK2YPwU8l2hxUe/vgL17HWBFrSTqi80naqf/BPgZkXR/DVGfaFUH69urzWP/VXd7PvAjolX714gBULKoT7D3a1CmnYjatY09Ks5Osew+xPvw1eT+39N9vck8dfJZ1ywjWjhdmHMsVTYDuALYLePyU4DN8gtHLfjdlSQNqqodi2Q5jh/W/fiwvm5JkgozCCVi6j3ccL9Zq+tngA8DuwKvq5v+XjzD386NxPvWrf1bTH+E8ZHe5xBJ5tpB+05Ey/csJ0H6nWDfkKjV1FjrcCkTj2T/BqJcUePv8lRiIJUyeIKoB5m2Pvw1RC+IRb0KqKJOp7sTJ2txoNMsniF9azC/u5KkQVa1Y5EniZMCw3gMuor0pVAH6XVLklQZg5ZgH00531qihXF9gv0F+YejBlOI7qTNfJXxz29f1m8RsxfwHGBxh8/Z7xIx7yAGLG1UGxy0lclEC/dmv8n9yfbae2GUGADrceKkRyvXEgMKX0z71z2MdgWO63IdN9PfkkeD4pvAK/G7WyY7Eb+JLYnkwQNEcuDeIoOSpB4o0/ZuW6p3LLKG4T0G/SLxH2rYXrckSZUxaAn2TjQezFZtdPUqOgzYuMn0NcSBY83yFsu3mt7O2rrb/WjB/tctpj84wXJ7AFu3eGyESAp+K2tQOVtNnJB6BXEyYS7xPj8G3AP8knKcDCir9+SwjnNyWMcwug+/u2UwCzgROIJIODUaAy5N5rmrj3FJUt7Kur3bL4d1FHEsMqzHoIsYztctSVJlDHOCvbEFwE0t5tsVeB/wYmA7osXJw0S99zOBW1sstzFRUuWVwA5Ea4vbiNYeWwIfY92SNp3OXzUjtB4M9QLW/VPxX8Tr3rlu2teJg8hO9bNEzLOBl7R47NEJlp0zweNbdh5OT60Bfp5c1JksA4nVW4QJ9m743S3WCcCniaRTKyNES73dgYXYzV1SNZV5e7dPl8svorhjkWHdjw/r65YkqRKGNcG+CfA3DdMaB0gF+CQxACpE64BrgJcD85LL4URLghsbltuWGFh1K6Je4I+IwUIPA96WzPOvjCfMO52/it4JvKjJ9NXE+1xvFVES5gPEyYZfsm4L9070s0TM9m0eWzHBsndM8PgDnYWiEtu2i2VHgSOJ7YRUJbOAc+nsBNNcYlDyQ3oRkCT1SBW2d3t2sazHIpIkSQ2GLcG+AfBnwN8TiduaW4B/b5j3XYwn1/9IJNRXEi1Nvgu8mRjs8W+JRHi9/yCS5auA5zNeHuSLwFXE+z61i/mrZjpRE7CZfwP+0GT6UuCUHJ67ny3Yt08ZRzM3A5fTfBDYJUT3YQ23UWJb42DMqpo5xPZttwzLHghMI/a/klR23W7vJtOfuuZrJ56lKY9FJEmSmphUdAA99lHgf5PLXcQf9B8Q5V4gEq5nA3uzfvK1fuCfaxj/cz8GXFj32JsaltuIGKQT4FesW3v7F8Dnk9vTMs5fRR+nefL5D4yfxOiVfibYN+9y+bcB32mY9ihxMsdWQoMj7WDM9ZYRrdounGhGqWRmAFeQLdkEMTh246DXklRGeWzvNsovnLaWZljGYxFJkqQWBj3Bvi0xEMxLgeeyfov9FcDdRMvxRvWtRxpbH/+q7vYMYHbd/c3rnmdX4HkNy9bqFU7LOH/VvIKoLd9oFVFiJ8vApZ3oZ4mY6V0u/wTwDqKUzrHAocSAWL/ocr0ql1V01nLsGmABcElvwpF66nRgfhfLrwUeyikWSeW2GXEs/ArgVcS+r1398rLJY3v3RE6xTKTTATE9FpEkSWpjpOgAcvYl4C/r7p9CtLKYSiTb5xH1EBvrDt4DHEWUY6l5BfCPRMvhk1h3MNPXAT+pu//CusenAk8T5Wgg6qYfB3yvbv6PA98i6m53On8Wj7HuSQBJnVlOnEyTJEmS1Ht/IMqnSpJUeoOeYD+OKAHT6EVEgnzrummPEKVjWg0mOZNocf2XRIv4xvXdXHf/EuCghnkuA/4KuK3Jujudv1M/J8rgfJrsg4V2ahpwAfCyJo/1M44pRC8FgI8A5/XwuT4MnNjisc8D/9DD5+6XXxEnhRYUHUgfPB/4aXJ7JyYeqDatW4m6+vsQLfWeT5wAGyNO6D0I3JTMo3y8EjifGPPhnwuOZZi8FTiry3V8ghinRP3zSaIX1UHAtQXHUhULgYuIk7GNPRH75Tqih9TLC3r+LI4mjp02TjHvGNHQ5DW9DKgL/wwc0eU6PkH/tndnEdvofYgGBFU4Fvkt0SBpGI5Baw4hjl0+wXDtC68gGsa9n/XLZ6ZxFfBsitseK50zgbcD+7FuY8YqOBL4J+BDwDcLjqXX3gl8FjgZ+EbBsXRqHrE9+RbRaLZq7k4u+040o3L1MeC9RJ72vU0er+2j1jNsg5zW3AS8Efg1kYCF6Jb6EWJHXm8z4sd4HNFNdTFRtuU9bdZ/IvAS1k3gvw64ETiNaFn/TBfzd6pWGuUJ4P4u1pPWVKIFfrPk+sn0N8E1ue72w/T29T/W5rGnevzc/bKG6MI8CK9lIvXd0h8gv3JGa4k67Pcml/+X03rV2qPJ9ZMMx3e3LF7S5fKLiJILjkHRX08n14/g7yWtR5LrMYp7z9YS++gqfGazgHOJXqVpjQBbUM7Xtx3rj8nUqUX0d3tXazTwIJHYqsKxyBrie1DG70CvPJ5cL2O4XndtvKKlZHvdoxS7PVY6tf9WS6jeZ7Usuc76Ha2S2pgdVdwObZpcL6d6sUNsx0apZuxV9lRyvYLm733L0tODXoO9neuJlhD19m64/w6iBflHiPfqfcRgnRO1RL47WVdj7ezJRIL518DcLuYvs+nA94E/a5i+hmj93+/Wo/2swf7UxLNI0tDYvYtlR4nWQSbXpcEyB7iSzpLrNRuzbsOJstifdK3wW3F7J0mSVHHDnGCH6E5bb8u628cRJU42JVo+LwC+wPoDnrayiChL8EHGz/rVzGf9rkSdzl9GmxN/mg5omP44kXAvomvjWuLMH3TXCyCNdi3YJWnYpN1fNhoFDgOuzjEWScWbQXSr3S3j8iN0l8guI7d3kiRJA2DYE+xzGu7XSuY8m6gJVvPXjNfxnshs4NtEN9Y1wBlE/bfGWvCvIRLSnc5fVi8gWuAvbJj+G6JUzOV9j2hcreV6Y4J9A2CjHJ+nXdedbsoxHUDUrZekKmk8WZzGMqLm7IU5xyKpeKcTjUayGiPbdqWs3N5JkiQNiEFLsHcyaOsI6yeDay3a30AM0lmzuGG+6W3WO40YrKO+RMojRIv4v2C8NfUkImne6fxltB/wS2DHumlriHIwewF3FRFUnVpifTVx8uQfgVuS+08Sn+/JRMK9G4vaPDatzWMT+SDwii6Wl6Qi3NPh/NcQvcUu6UEs0iDYEtiDGKfnjcSxQWNjkbJaQBzbduMmsveM6YeVHczr9k6SJGmADFqCfXbD/VavbxLwFWDbhulnJdeNtbr3b7j/lob7WzR5jsOaTPsy8Pu6+/UH4p3OXxYfAH7CugNC/h7Yk0ha97rueRq1GN4K/IGIax7jJ2S2JpLu3Y6KfScxkGwzm2Vc52zixMplGZeXpKLUBtFrPEnd6Fpi+7w37U9USsNoFjHY/e3EgNu/Io67fgj8D1HG8Ad030ig196bwzrOyWEdvXQWcSzYjts7SZLyMQLMBLYhTlrvRzRePR74KPChZL6dC4mue0sZrJ57A6+bshVlMwK8uGHanwFfYrwV+CzgIOBoYJ+GeS8ALk1ur2p47ATivVpODMq0oOHx9xFdPH9GtEiBKOtxAPEnqGYakcyFaFV9FVGPspP5y2IT4o/OIXXTVhMDwP495Uis19RasB9D1Lo8nShnsxfw/rr5DiMS2edmfJ41ybJ/1eSxrTKu83jiu31exuUlqWiHEPvPnYj98BjRe2gJcCvRa0vS+k4gSsTNajPPCHAgMeZM4/Frmbyqy+UXUf4E+13A84k/8m7vJElKbwox/uGmRO+8OSlvT02x7qr09mu0D/BU0UEovUFIsC8kWiMfQhzU1nsT8ChxVmt1ct1oNVHv/MN1064kBuastYh/FuNnvyCS9n9OJJkB3pZcr2U8wQ7R7fOjwI+JBOsxxMYAoq77MsYT7GnnL4N9gK8C29VN+yFwEnBbIRG1V5/sfyfwneT2hUTL8iPqHj+Z7Al2iLI4RxPfmXovzLCuTYkeAl8F7usiJkkq0lqiZ9PvJ5pREhCJ2XOJRh1pTWL9npxlst3Es7Q0ChxJJKrLzu2dJGmYTSKOY9ImyGu3G/MnirLGqpBBSLB/Dnhpm8drfzamJNcPE91s/5BcvsX6XTQfJhLo3yDKv6wg6q7fQCTif0K0RPl43TLfJJLw0xlPzq8GPptcaut4hEiWfz1ZbnmH8xdpNpFAPpbx8irXE/FdUVRQKdRasN/OeHK95mzWTbC/gOg1kDWhfT9xouFLDdM3I5LsnWwkzyS6fH8sYyySJKla5hADw++WYdnpxPFu46DuZfA07ccwamWU6GF4db7hSJIKVsvPdDKOnvqvtu+eBxzKxMny2QxeKWoplUFIsL+sR+u9jBi0cwGRAH+MqH1Z83fA14iyNNcBdyfTnwGelywDUQ9qByJRPolIsNb/8VnW4fxFOQw4A5ib3L+D6LZ8HtFap8xqLdibtSa6tcm0zemuxfjZxPfifQ3Tj2HdnhDtfIhorXUoccJHkiQNthlEg4X5GZcfIXpXlvG44XKajzfUzjLgKBwIVJIG0R7J9W+J3MdjRPWBR1PeLkOOZBjU8m0nJpcqmmh8FCkXg5Bg76WnaN9i5k6a/1gfrbt9T3Jpp9P5++l5wOcZH+j1dqLG+nlEzfEqqO18lzd5rFnNrjze/xMY7+VQ+539X6LO/8/aLDdCtFj/FFEr/ts5xCJJksrvdLIn1yHqfT8+4VzFOIWoFZ+2C/g1wOE4EKgkDbrJwLOTSyeeovOk/FKqk8NQfu4vOgANBxPsw6FW5307omZ9GpOBdxOtqCcTAzd9nWiBtBbYPd8Qe6rW/Wwz1n/9ezXcv54oE5OHy4B7gb8lBruamkz7FnARkYCvmUycHT4G2IV4r7/TJN6iTSViLVtcvfDcutu7k9/gcRsQXe2G4T0si9oYCFvj+95PtR5Pu+LxRtlsQfweNiE+m2VEg4HHgC2TeXYpJrRK2jm5nkT2bczzgOO6jONuetezMw8fBD5BfPdauY0Ye+Yq4ru4ZZt5y2KH5Pq5VGcfs1lyPZ/2g+iWyRTiGKoq73EedkquO/kPNwhq/12z/qam0932WP2RZnDKdjZKLtt2sMwYkZhfllyeaLj9RIvpy5Nla2r/E3dg8L9nm008S+ltweB/TsrPVsn1HJp/b2Y0mQZY72pYPERsVB4ndhBpbEIccK9MllnRm9D6YktiB/400f2s3hasWxN0Cb15rdOBjYFpddNGiZMVI0SCY4Robf848b6X0dZEnIuLDqQPJjO+cb0juZ+HbYiWE55J759pRLJ3GdFyRf2xKdFa9QHsxlsGk4jPYyNan/BYQeyXZgIPkt+JxUFX28asJU6sZzGH+Gy60clxXpFmEO/ZBsn9NUQ5vxXEsVHVbER8fo9RjYFYIRImM4ljkdUTzFsWz0muh+EYtGYm8VlV5bedl62I4+7ryDZ481xiP9dNyU/1Xu1zroIxYh9fu4wQJ/2G4b9F7Xi+jOo/kzVt7q+mmscXKsZsInfXLH8I1dp2qQeuJHYKJ3WwzCZ03k2rrK4iXv95DdNfSWxwx5LLuX2IZTKwPbAnUXbnIOD1yf3N+/D83VpEJF2Gwc6MfzdanqXMYCnNa/+rd15LfI6fKTqQIfNF4n0vc4vaYXECkaAZS3F5Orm2pU96r2K8VVxWt5Du82l1uZvy/gEedMcSn8HxRQfSgfOImOcVHUgHFjM8x6A1RxCf0/uLDqTPbiRe97syLv8s4qSXyu1rdLffK8Pla7m/K+XzF/T+fVxBbOOvJ3JXFwJfAv6ByGEdDbwJ2JvombwFJjjVO6cS38vzWzx+Ay2+y3bZViu1LlGDoNZycoO6abOBrzDei+MndN81O43VRJJ6UR+eS5I03GYRJ48P7mCZPE8oKr3tulh2lCjpV5XW05LUS24Lq2Fs4llUAp18TmtYt+Z92tr4Va6WIP2JCXYNg1rX11ot9mcBlzBe1/AM4MPYbUiSNDjmEOOm7JZx+SkTz6IcPc26JevSGgUOA67ONxxJknrqHmKctzlE7/kqGoaTBA8BPyZdsvwJhuM9kZoywa5hUGvBPpuoyXcp8FLiz+x7gAsKikuSpF6YAVxBDGDYzTrUP5cTifJOLAOOIhoNSJJUJackF4i81Gwi2b5pct3udu1+0ccqNxT8/P3wg+QiaQIm2DUMai3YdwZ+SdRAvx44FLitoJgkSeqV0+kuuT4G/DSnWJTOKcCBpK+jfg1wOJackyRV3yjwcHLpxDQ6T8rPIb882DANPixpAibYNQxqLdjnJtefJwbLWFlMOJIk9cwudD+myE3AqhxiUXq3AwcA3wB2bDPftcSAzRdjN2xJ0nBbCdyXXNIaIU5mp0nK19+exfj4bZK0HhPsGgb1g2b8C/ChogKRJKnH3p3DOs7JYR3q3C+AeURL9n2BbYC1RP3TW4AfAXcUFp0kSdU3RrQ8f4LOeoFtQCTZ65Pvt+YdnKTqMsGuYXAh8Bbg+8DJBcciSVIv7dnl8oswwV6kUaJ1+sVFByJJkv5kDeODekrSekywaxj8iDjDLEnSoNumi2VHgSOBJ3OKRZIkSZIG3qSiA5AkSVJulmdcbhQ4DLg6x1gkSZIkaeCZYJckSRocP8uwzDLgEKKkmiRJkiSpAybYJUmSBsepdFbi5RpgAXBJb8KRJEmSpMFmDfbhsHly/UqiC7iU1cbEduP9RQfSB1vW3f4/5PfbmQrMZjjew7J4fnK9B77v/bRrcn0YsHeRgQyhrwCHA5u1mWcxcBnwe+DN/QhqgO2YXE/GbcwwWphc7wtMKzKQDsxLro8ClhQZSAc2IhqHDdNv7GXJ9asLjaL/5iTXryaOmSVJ6peXJtfPp/kxR8v/VybYh8MS4I/EAcrCCeaV2pkCbMBwfI+mE78bgJeQX4+fDZJ1D8N7WBZzk+ut8X3vp9r7vivx3qu/rgS2Ij6HGcAYsBJ4AngAeAqYCby8qAAHyMbE/mIUtzHDaIfk+rnA2iID6UDtz+ECYptQBVOAEYbrN7Zd3fUwve5lwGripMowvW5JUvFmMJ4HarYPqu2jJKkri4AHiw6i4pYCtxYdxJB5LZFc/EzRgQyZLxLv+8smmlGSKuxYYlt3fNGBdOA8IuZ5E81YIosZvmPQI4jPaZha7UuSVEnWYJckSZIkSZIkKQMT7JIkSZIkSZIkZWCCXZIkSZIkSZKkDBzkVFInFhODTElVch9Rw3Rx0YFIkqRM/sjw/Xe9N7n+Y9u5JElS4YbtIEVSd/YHRooOQurQLcBmwONFByJJUgnUejFPLjSKzuzH8B2D/jdx/PJo0YFIkqT2TLBL6sSKogOQMnqs6AAkSeqBycAcIhFbu57o9ibJstsAN/Y53qyG9RjU5LokSRVggl2SJEmSitcqWd4uYb5xIZFKkiTpT0ywS5IkSVK+6pPlaVuXmyyXJEmqIBPsktRfy4ClRQchSZJysWNyfQJwDOMJ8yoky58sOgBJkqRBYIJdkvrrdQxvHVFJkgbNVsn1iwqNIpuHiw5AkiRpEJhgl6T+uq3oACRJkiRJkpQPE+ySJEmSNBxWAY8Aj2KPOkmSpFyYYJckSZKkbG4p8LlryfJawjzN7aeBsSKClSRJGlQm2CVJUi+sbLiWpEH0SE7rSZMsb7y/HJPlkiRJhTPBLkmSeuEM4PfATUUHIkl9Vp8sT9u63GS5JElSRf1/YTJ+FAUf9+oAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 442,
       "width": 748
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bwv1 = chorales[0].parse()\n",
    "bwv1.measures(0, 3).show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Hmmm... that looks like it's going to be in major...let's check to be reasonably sure:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<music21.key.Key of F major>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bwv1.analyze('key')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Okay, so this won't be relevant to us.  Let's parse a few pieces and find one in minor:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 <music21.metadata.bundles.MetadataEntry 'bach_bwv10_7_mxl'>\n",
      "2 <music21.metadata.bundles.MetadataEntry 'bach_bwv101_7_mxl'>\n",
      "3 <music21.metadata.bundles.MetadataEntry 'bach_bwv102_7_mxl'>\n",
      "4 <music21.metadata.bundles.MetadataEntry 'bach_bwv103_6_mxl'>\n",
      "6 <music21.metadata.bundles.MetadataEntry 'bach_bwv108_6_mxl'>\n",
      "8 <music21.metadata.bundles.MetadataEntry 'bach_bwv110_7_mxl'>\n",
      "9 <music21.metadata.bundles.MetadataEntry 'bach_bwv111_6_mxl'>\n",
      "12 <music21.metadata.bundles.MetadataEntry 'bach_bwv113_8_mxl'>\n",
      "13 <music21.metadata.bundles.MetadataEntry 'bach_bwv114_7_mxl'>\n"
     ]
    }
   ],
   "source": [
    "for i, chorale in enumerate(chorales[:20]):\n",
    "    cScore = chorale.parse()\n",
    "    if cScore.analyze('key').mode == 'minor':\n",
    "        print(i, chorale)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Ah, good ol' Bach has quite a bit in minor.  And now we know how to filter for the types of pieces we'll be interested in.  Let's grab BWV 10:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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lvwj4zYD6MlU9EfhUcv87wL7kvx53A97Rr05JkiRNRQbYJUmSqrFGzrrf0X4geQFwWs76V1Mf4bwO8Mbk/unANZl970nWZx2S/B0B3prcvwi4vM2+tXIt8Vjz2p2Z3D+ICOwvIdLKTDTLyX9+dmL8FQJlPbFg/cld1Nlr2fQwZxHPo/pjJnHybBXipN1hxOdFUSD9s8BW/emaJEnS1GOAXZIkqRqPyVn325J15E12ui7wouT+W4FZyf3PF9SRlybm4KTcbtRTzvQ6B3reZKfzgJcm92sj8U8C7u9x2/1ySs66tYi0PZ3aKWfdv4ELuqizl6YBL8usMz1Mf32K+vv2bdQnBz4JOCNn/9WIz5JuTvxIkiRJkiRJhXYjRpZnb4d0WN8IcFemrgXUU7G0axS4MadfpxMTG9ba+FOTOqYRedmzdbySSEMzRkxKWrZvrUwHbs1p9/dEGpXa8u5FFfTIqjl9GAPO7EHdqwB35tT98i7qvDinvi93182eeibj+7aE/HRIg/RV8p/zsv08LaeO+R305x859ZzXQT0AzwBWJnXkXdWwMRFwz3v8eRMNt2t+Tn15V3BIkiRJkiRpCup1gH2rnLoO67CuD+fUtRz4aGr5hS3q+FROHRcQwdExinOmd+t/c9odA36a/L2S6kfVVhlgB3h7Tt0/6rCuTXLqWgxs1H03e+YbDH+QdbIG2NcEbkrK3wdsULDff+e0VzuRtkkH7YIBdkmSJEmSJDXR6wB7Nii+gPyc7O3YiAioZ/tWG8V6Ba2D1FvmlE/f8tKS9MJ6wKNN2u3H5ItVB9hnArdk6r6Pep78Mt5BYz+LUv80M6fD9luZRuOI/ddU0E5Np49jsgbYv5cq/4Ym+40A5+S0WXvdd3JSywC7JEmSJEmSCvUywD4TuCFTT6sR5q3kBfpqt1e1WUdRwO2iLvvWyvEF7S4hAqhVW7ug/V4F2CEmms3Wv2/JOkaAv2bquB+YW6KOPagHcx8hUgCtVbIfzTwj07+lxPHttW4fx1H0JsB+ek4dncwXcFVOPWUD7Pulyv6e1kHyrYirH7r5zEi7O6eevAmUJUmSJEmSNAUVBdhf36xQgQ9k6vhMD/r3ooL+3UTkOm/HqwvqOLQH/Wtm94J2f1BxuzVPKGj/Vz1sYxT4Zab+S5L17Xp+Th9fW6L8duRfLfD7kv1o5utUdwxrevE4anMLdBtg/1NBPTNL1nN7Th1lJq1dj3qA+xFg6zbLvTen3TFgIeXSDk0j/yqaP5SoQ5IkSZIkSZNYUYC9bBD42UQArFb+ZNoPgDdTNFHp20vUsRox+jZd/kGqn6ByBPg7jX1/WsXt1qRH/qZvV/e4nbnU82PXbq9os+x0Go/RUSXbr+W1z7s9t2RdeUaBOzL1VnFypheP47cF5Tcu2ZdrC+rZrEQdI+SfMLi1zfKjxNUWtXKfKtH2NPInzR0D/kj7n00bF9RxbYm+SJIkSZIkaRKbS346heVEPvVpLcqPAAcBD6XKfr2NcmV8ItO3BcCsknV8K1PHt3vYv2ayKVSuovrJTWt+SH5wcCm9T1HzJGBRqo2HgJ1blBkBvpvp2x8on3v8GvIf5xjwvpJ15Xl6ps4VwLo9qDer28exJnBvQfm9S/RjE2BZQT3vL1HPTgV1rCTmRmjl/akyDwGzS7QN+emLarev0t778H0F5ZfS+aSpkiRJkiRJmmSeC9xI8WjnjwBPJHJOjxDB842I1CtnMz4I9k56H0DejPFpGj7aQR07M/5x7diz3jU3i5j4s9bu2/rQ5ibEBKFFwcUxIsXJBj1u9wmMfx3dTeTgz3s9zAG+k+nTDyl/4gSKR22PAQd2UF/W1zJ1ntODOvN08zhWB45pUv7vtJcaZV3gZ03qmU/ko29lcyK1TVE9Z1D8XI8SnyPp/S+m/OfKIU3aHyNef0UTME8nPt/ua1L+F5S/MkCSJEmSJEmT1AzgHcC/aR6UWkxjTuKVwPeBDSvsX23C0HvpfPLKvyR1/LJXnWpTLUDbycj7duxIjMg9mchvvYLmz2H6diFwAvAN4JPE66Abc4GzMm2cA3wIOIAYVXwkkQu7tv0R4K10fmKmKBXONZQf9Zw1SuN74n+6rLNI2cexGXEsf07+RJzZ23Lgd0Qg/kWZer5FBMQfbqOeMeJ19gPgNZl6vktMHry0jTruBH5MnAx6IvDYpPz1BftfSATFn9DiOH6SuBKiaKLT9O0e4DgixdWM5HienfStneOwFPhzciw6mUBVkiRpQutFTlBJkqTJYimR2uUbRADr+cltO2JUay34uVry92EiyHYqcDoRhKzS54m83kcAD3RYx5eI0bm9mHy1jKOBtwBfIYJ+vTadCFLfkNz+2GE9M+j+6oN7ieDtrkQg+hVE8PLZOfveSKTqOZYIuHfqdCIn/xepvz7PI0YwL+qiXoA9aBz5fWqXdRYp+zhGiRzn1yW3MtK/hUaJOQn+ltzKSKeCGiWex3MoP8p/elLXQuCUEm3mWUoE4y8s0f406jnjL01uZfUyLZYkSdKE0K/cl5IkSRPdNGAesB4R6LuL7gOXnXgKkSpiZRd17JLU0W+7EGk6uun7RLQmkZ5nGyIdx73ALcntJnp7PGYD2xNpTGoT43ZrNcaPHh+ju5MB7ajicUiSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSKjVt0B2QJEmSJEmSJHVlFNgEGAOWZrbNTW4P9btTE8wqwHOAOcCd7RaaXll3JEmSJEmSJEmvAvZrY79vAH8uWfdewCeAnYDZRID9RuAy4E/AucAxwDrAViXrbuYIYMs29lsK3J/c/gmcB9zcw350a03ghcTz8wJgLeBrwCWD7JQkSZIkSZIkKRwAnAUsJALg2dtDwNnAG0vW+7VMPcuSuvLaWNLtg8j4OPB74JGC9prdLqW9Ew79cC2N/TtqoD2SJEmSJEmSJDWYDfyD8cHcu4nR5WW9IVXHCuCDwKrJtk2AzxOjx9Ntze2i70U2Bh7ItPMzYHtgd+DlwMeAf9MYyP5EBf0pa1PgnRhglyRJkiRJkqSh9znGB3N/0kEdI8CCVB1fKNhvF+Dh1H47dNBWO37B+Mf05px9ZgBfojHIvmdFfSrrbjoMsI9W0h1JkiRJkiRJUtaCzPI9HdTxOGBeavk3BftdDLw+tbxxB221I/uYxnL2WQp8gMa+vrWSHpWXfQxtM8AuSZIkSZIkSf2xPLO8ooM6tsssb9tk35OJ/O4AG3XQVjuyj6nISuCEzLpmfZ8QDLBLkiRJkiRJ0sTxcGb5cGCDJvsfk/ytagR7GbdlltcYSC96yAC7JEmSJEmSJE0c12aW5wHnEalj8pwBfAU4vspOtWmrzPJVBfvtCBwNnE9MkHoPcE2yruhxpq0NvI/IcX89cBfwN+JkQzu56EeAA5P2rgHmA+cA/91GWUmSJEmSJElSBd7J+Ek+S02omXIujROGPgC8jf4Pqv5Oph9vKthvLeCGzL7vytnvE6ntNxNpbm5NrXuICMAXeTpwS7LvUuBSIsiebvfwTJmrUtu+C5xF4/Gt3T7XpG1JkiRJkiRJUkV6FWDflQg05wWAL0y290urAPs04MXA5Zn9rgZmZPZ9XWr7LcCqyfoR4NTUthML+vIqIif8GHESYt3Utgsy7T83te0qGo/jvcDPgZOI/PG19UuA9QralyRJkiRJkiRVpFcBdoAnE6lL8oLsK4CvAat309k2ZQPstwAXJ7cbgWWZ7Y8mZebm1HU+xUH0V6W2Lcopuy6wMNl+OY3B+4My/TgitS0bYD+HSDNT8+7M9lfXNpiDXZIkSZIkSZImnr8DuwP/zNk2CryDGCX+lH52CtgM2Dm5bQFMz2xfAtxEBNqzlqXur8hsuzB1fxYwJ7P9y9SD9ocT6WHSzmD8JKs35rQPcCXwPOD+1LpjMn3bpKCsJEmSJEmSJKkivRzBXjMT+CDwIPmj2R8mAsZVyY5g/xiwHfAkYD/gMMaPTE/nV39Gpq49gD8BZ9I4mek+mfLp7TOoj5R/mEgpk2dr4EPAvkTqmpr0CPai5ySdB/7Ign0kSZIkSZIkSRWpIsBeswHwI/KD7IuJ0eRVaHeS0+2B2zP7LgA2bFL37KS+i2l8TNul9tshtf7KDh5DOwH23H1MESNJkiRJkiRJE9984DXAoTSmX1mN3gbzO3EV8CLGp26ZR4xwz5pH5Ei/nQjgrw98r0nd6WD7ssK9KmCAXZIkSZIkSZImjp2ItDBFvgc8jQi4p72QCLQP0uXAJZl1e2aWXw5cSwTeR4H/ATYHPtuk3lVT9zfvqoclGWCXJEmSJEmSpMEYK7n/LsClwFtb7HcJ8ObMumlEKpVBuyyzvEHq/puBk4jJShcQJxO+ReOEp1npOPccqkuH07RhSZIkSZIkSVL/3FNy//uSv4fRejT6L4B/Z9atUbK9KqyTWZ6e/N0Q+Gpq/fuAm9qs87rM8kdb7P884PeptjtmgF2SJEmSJEmSqrE2MRq7yI0l67sFWE6M+v5QG/unU8mMEXnQe22k5L67ZdbVRrS/kPGpXm7P7NfshMK1meXX0ph6pmYb4MdEoL/VyPiWDLBLkiRJkiRJUu99lEhzcjfwwWRdNkicDQxDBKDPI0ZvvzezbTlwc3L/I8DLmrS/CbBWavlS4K422yljTma5KOY8Cnwf2Cyz/uvJ3+zkpM/NLO+fWV4vdX8hcHJqeRrwO+ANyX2A2cABxGOeA7yLeoqedGC/KJCfXt8sB74kSZIkSZIkqUsLiADuGPAwkZ7lhNS6cwvKnZ/aZyUx4jrtV6nti4C3Uw8i18wB/pTabwWwT8l22jFCnCQYS91OZ/yo9rWB1wDnZPYbA36S2u/gzLYHgS8AhxMnB7JlTyaC87WTDFsCj+Ts9zBwZWbbZ1LtTgceSm37dc7jXBVYnHmMkiRJkiRJkqSKXM/4QO9V1IO8S4E9CsotzJTbN7P9azQGka8EvgK8G/giMWo+HVx/TwftNLMbcAhwRk5fxoB7gUeJ4Hbe9qXAN4BZqTrXTcrl7T8GHA3cn7P+qFQdrwWWNKljDDiO+gmAXYBvZ7YvAz4AbEuMut8N+GFmn0eIUf8blThmkiRJkiRJkqQ27U9MSpoN8P6LCOwW+WJq3xtpTEfyzmTbZcB3gFtz2qjdLmzSVqt2mrm4SZt5t7uBvwDHErnjNy+odx8ijc0Y9RHjlxOTkgJ8MlPvCcCMTB1PIka8r8zsexPwysy+Nzfp81XExKvNHtdRZRLQS5IkSZIkSZLaN40YAb0bEWS+AriaxnzjWWJlMpYAACAASURBVLsRI7rPJkZ7p21NTAj6fWKEOMREqtsB2xOjwq9L2rmZCAR30s6grA7sRJycuBe4M7N9K+AJxAmGm5rUsyawc1LfZcBtPe+pJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJElqNDLoDkiSJEmSJElSSRsAjwceA8wDZgHTgUeBB4G7gOuBa4AlA+qjJEmSJEmSJElDYQR4KfBXYKzN22LgGGDz/ndXkiRJkiRJkqTB24FygfXsbSnwGWBmvzsuSZIkSZIkSdKgvJpI89JpcD19uwTYtL/dlyRJkiRJkiSp/w4FVtKb4HrtdjOwWR8fgyYxJzmVJEmSJEmSNIz2AX4JTCvYPgbckNwWEmlgZgObANsCc5vUfSWwO7CoV52VJEmSJEmSJGkYbA3cS+Po8xXAGcAraB5AHwG2Bz4MXJ9TzxhwCg5AliRJkiRJkiRNIjOAy2gMiP8MeGwH9Y0SAfmbcup8dw/6K0mSJEmSJEnSUPgU44PgC4CX9KDeWcC3M3UvprOgvSRJkiRJkiRJQ+UJwDLqAfCrgM173MbrMm38pcf1S5IkSZIkSZLUd7+hHvi+EdiwonZeA6xMtXVQRe1IkiRJkiRJklS5vakHvO8Etqq4vXen2vsXML3i9iSpI/Oo/gNRkiRJkiRJE1t69PrefWrzpziKXdIQew4xEcUiYLsB90WSJEmSJEnDaSvqKVv+r2TZ2cD+wKHAU0qWXQ+4J2n3dyXLSlKlshNGXAWsNtAeSZIkSZIkaRh9gogf3QusVaLcU4l0MmOp28+BmSXqeGNSbiWwWYlyklSZVwArGP/hNgZ8dpCdkiRJkiRJ0lC6nIgdHVGizGwag+u125dK1DMDmJ+Ue3uJcpJUiV2BR8n/cHsUeNzguta2NYF3AB8Ddh5wXyRJkiRJkiazzYm40TJgkxLl9iM//jQG3FWyDx9Pyv22ZDlJ6qm1gBsp/nAbA04dWO/atyf1/p484L5IkiRJkiRNZu8kYjC/KVnu9RTHn5aVrGvLpNxSYPWSZTWFjQ66A5p0Dge2aLHPfsBO1XelK8tT98t+IEuSJEmSJKl9+yR//1iy3OUdbstzI3ArsAqwW8myktQT2xBn+ZqNXq/dfjqgPrZrZ+p9PW6wXZEkSZIkSZrU7iJiMHt0UPZkGuNOK4DndVDXD5Py7+2grCR17VhaB9bvo36ZzkaD6WZbdqLe52MG3BdJkiRJkqTJ7HzgQmBaB2VnEBOj3kHM/XcR9RHxZe1JBPtf2WF5SerYRhRPbFrLX/UlYG3qszsfPoiOtml76n3/5oD7IkmSJEmSJEmaxN5HcXD934y/xOf4ZP1Nfe5jGdtS7/+RA+6LJEmSJEmSpCHkJKfqlf0L1l9L5DM/P7Xub8nfzYHdK+xTN9KTnC4dWC8kSZIkSZIkDS0D7OqFVcmfXflm4DnA/Mz6K1P3D66oT91KB9iXDawXkiRJkiRJkoaWAXb1wg40TkKxDHg5McFE1i2p+8+vqlNdcgS7JEmSJEmSpKYMsKsXts1Z92nqqWCy7s2U3bjnPeqeAXZJkiRJkiRJTU0fdAc0KczJLN8BfLHJ/oszy3sCJ/W0R90zRYwmmxFgI2ALYC1gNrAa8X78F3A5MamvJEmSJEmS2mSAXb2wRmb588CSJvuvllnevrfd6QlHsGsymA28FHgl8HQa36tpVwIvAm7rQ78kSZIkSZIkJf6XGPk6BjwKzG2x/2ap/ceAkyvtXWdmUe/fmwfcF6msWcCHgQcZ/15Lv09PAF4G7AdcmKz/zSA6K0mSJEmSJE1lH6QeuDuzjf2fwfhg35+r61rHZlLv3+sH3BepjD2JUeh5gfUVwLHAppkyqydlViT3JUmSJEmS1AZTxKgX0jnK/9LG/jtkltfqYV96xRzsmoieCZxNnCDKuoS4GuOSnG0PJ+s3Ia5AebiqDkqSJEmSJE0mo4PugCaFR1L3/97G/k/NLA/jiZ4V1Cd8NAe7JoJ1iMmCs8H1xcB7ifddXnAdYtT6U4nX/L1VdVCSJEmSJElSo0Oop6DYqcW+o8DdjE9bcX6VnevCo0T/XppZPw3TaGj4HEljSpg/Alu1KLcq8Ktk/39W2D9JkiRJkqRJZxhHDqv3DiVyLt8GzK+g/sem7j+ZSDNRZEdg3cy6VYAX97pTPbAy+fskYE1gX2A3YGNgBFhI5Jz/eWpfaRBWBd6aWl4O/BA4DXh8csszj5gMdetk+RqG8704rLYB1gZuBhYMtiuSNKkM6+frCPE9diNisMVqxP/gJcT37OuoXwEpTUUjwC7J/csw1aY0Ua0JbEu8hy8bcF+kYTYTeALEP0BNfv8mfgjcDtxVQf1rUA+yX8X4lDFZWwJzMuvuIvo2bHYiRqvfQ+SlLkqpdC9wU786JeVYi3qQfClwA5Eappk5wGaMP9F6NREkUHu2IgJAV+APSEnqpa2J/22XM35enEEYJT7r5xJB9WlN9l0CXI/pBTV1jRADrgD+DMweYF8kdW5N4mT3cuJ/saR8M2mcZ1KT2DnEaJr3V1T/NtRTUjylyX6bE0GobBqLV1fUr27Np97HZcCXgQPJT8VxyGC6KAHwXeJ1eBmNV4hkzQF+QONr+MwqOzhJnU4cu08MuiOSNMmcSXy+fmyAfZhFXOX1II3/M8eIVIInAC8D9gMuTNb/ZhCdlYbEDOrvkR0H3BdJndsb5+eS2rE19f97mgKqDrDPpD4p6EFN9vsR+T9QNq+oXxCjJg4Hvg7sWbLsbdT7mH1c2cdi7moNUm1eg21a7HcAcCeN78FFjE/1pPYYYJekagw6wL4n478Hpm8rgGOJ9ItpqydlVuBcPZq6DLBLk4MBdqk9/wmwF6W8kMp4lMiRCZGnK8+TgVflrP97qmwVHgN8HHg78K6SZWuX9/4LODmz7ZjM8rZEbnZpEGYkf28r2L4FcBbwM2CDzLYx4I1E3lhJkqa6ZwK/I39OoUuIqzVfT+P/3IeT7aNEOhlJkiRNEQbY1Su1vFx5uYemEQHpvJz/P6msR2FF6n7ZHMm1/f+Rsy1vxHqr1BxSVWqv840y6+cCXyImL31hTrn7iaszqn4fSpI0EawDnERcnZm2GHgv8FQiiJ5n9WS7I/4kSZKmmOmtd5HaciGwP7BbzrZ3ATvnrH+IyB1dpXSAveyEU7X98yaLzP7wArilZP1SrzxIBNN/RVxOv5gIqL+a/MvUlwJHA58EFvapj5IkDbuPAOtn1v2JuNLrhiblViWudtwAuJYYzS5JkqQpwgC7euWC5O9jiB8X85PlJwCfLSjzbWIEbZW6CbA3G/H+xMzyecB9JeufykaALYHtidFiaxH58h8iJuo8D1g5sN5NPPOJuQweS/Fo9EeIE2EnAT/FwPpUsRXxPlufODE4n/i8vn2QnZoAPG6d8bh1xuM2HFYD3pRaXkpMcvplmk9ctSlwKvXBJGdV0ju1y++YkiRJqkTVk5xC/CBckrRzcLJuNeAq8ieIupP4wlu1zVJtfrNk2b8m5Y7P2Vab3LB2e34XfZwqZhN5+M8iRlznvS5qtytonDxMxc4jjtvTiStGDgcOA95CvB93IFI1qbeGdZLTtYm5J/5F/vtrJXAGEYBQncetMx63znjcmhvEJKfPpH78bybmD2rlZcQJ6/Rz58SO/ed3zOHhJKfS5OAkp1J7/jPJ6aA7ov7oR4A93c73kuXjKf5ye3BeBRXYJNXmkSXL/pn8APvTiR++tXqP666Lk94sYgRY0Q+eR4ETiB+p+xGjrMeA3wyisxNULcC+6qA7MsUMY4D97cTVNM2CC7Vb7coHedw65XHrjMettUEE2L+QtHkZrefVmQP8gMbn68wqO6gGfsccPgbYpcnBALvUHgPsU0y/Auz/m7RzG/Aein8s/qLifqRtmGr38yXL/i4pd2Jq3RzGjzb7Nfn52BX2JF4Pea+DFcCxNI4iWj0pswIDxu0ywD4YwxRgXxs4jfYCdunbzwbR2SHiceuMx60zHrf2DSLAfnXS5jNb7HcAcSVm9nlaRKRqU390+x0zb44adc8AuzQ5GGCX2mOAfYrpV4D9SYz/Ypv3hfduYL2K+5G2XqrtT5cs+yvG/7BdAzg3Vd9XcB6DZp5J5P3Oex1cTP7EtzW1AMS8ivs4WRhgH4xhCbCvA/yd8kG72ui+qXqSsNvjNlXfbx63znjcyhlEgP2GpM3HFWzfgkhBkvccrQRe0Yc+KvTiO+ZmFfdxqjLALk0OBtil9vwnwD5asMMoccZ/jZxtc4GNK+qYJrZLiRE9EK+hPIcSQfZ+6WaS09r+c4iJx/5AjJZZRPyIei+wvNsOTlLrEJNpZgN3i4nj9lTgkoKyqyfbx4CHq+qgNEnMAn5PnODsxAzi//pU04vjNhVPAHrcOuNxmxhq3+nWz6yfC3wJuAZ4YU65+4GDKJ5kXL3Vq++YBo0kSVJl9iJGQj5MfTTG9cApwDuAnYCLiBEemjj6NYJ9PeAWikdgfaXi9vOsnWr/gyXLnpKUmw/clNy/DNi2lx2cpI6k8fn/I7BVi3KrUr9y4J8V9m+ycQT7YAzDCPaj6WxEbPpqo6l4JU4vjtsqfe/14HncOuNxK28QI9hrk9vfSMwVtC/wbeAhiq8sOIoI+Kp//I453BzBLk0OjmCX2vOfEezpH9VfI4LoNcuJS++2Sm4vS217pOoeqqc2TP4+nwg4V2E68GqKr264nXjdlE3T0q0Zqft7US7fYu0S4dpIpouJEWiv6UG/OrEacVXJrOT+MmI0/d2MH6k/aDOB/0ktryB++FwAvL5JuTWBA6m/Xu+n/6+Xieoxyd/D8aqKfqp9RuzOYF6r6xNXBXVjIfG6mUp6ddw+3oO+TCTrAm/qso6peNzWAd7cZR1T8bjVBjPsQf8+X9dM/m5B8Wj05cAdRL72q4ElxLxD6o/p+B1z2E1L3T+UOEE1TOYQg8JmEb9ZZhAny+YDtxJBEk08Pq+9t0Xyd1X8vJSamVO7Uwuwv4F6cH0lMRv7V4mA6CbJtvdQHz2zKnG5pGezJobaF53VqCbAPgK8gOLg+iJiwtA1C7ZXKX0SaSblHn86zc2lwIX0f0KkecSEWZtSfHn4MuKLw8XAPX3qVzOPp/5Z8RAxWmgBzY/9VsCzGD8C+6YWZVRXe4+vxXCdbJnsVkn9HcRrdfce1HEtU+995nHrzK49qGMqHrdO08KkTcXjVvt8nUH/HnvtO+PZwGzie+NyImXgo8SJjvuoB2pmMnXnsBiUDfA75rBLB9hnZ5YHYRUiUPhYYCOaXw20kLh6xhSVw8/ntXq1uMcIfl5KzYyLc44QX0xql3J9oaDQLtRTx4wBO1TYQfVW1SlivkXxZc2LidfOoMxM9aXsCLIXECeRjqX/Xw63BH5MnPCq9f904nLl9ZL+zCUmcfoIcanrCuAI4j09KPMYn05n3Rb7zwF+QOPr5swK+zgZmSJmMAadIqY2IV+nt5vIn2tlsrsej1snLsLj1olaqhOPWzmDSBFzfNJm0SSnGrzPEM/R5fgdc1gNS4qYWcSgwQfJ/2x9FDiBuEp/P2Ig1Rjwm0F0Vm3zee0fU8RI7flPihiI0abpD6W9mxQ8KLXf86rto3qoygD7e2j+w/C1FbRZxiqpvjS7dHSYPIu4dLXW7xXAK1uUmUY8v0uIEwKDcjDR5+XA5i32PYCYFDf7mllEjEZQ+wywD8YgA+xr0V3QbhkxafNUM8r4E5cet/YtxePWifT/c49b+wywK8/fiOdo3xb7+R1zcIYhwL4ncBv5n6sriN9Km2bKrJ6UWYHfp4dVt89rv69En+gMsEvt+U+AfRTYLrOx2QSOJxOXTUJciqOp7cXAl1rss6wfHWkinS5j0H1px77Ar4ngWc0PiNHszawgnov9gFdQfkLXXqmNnr8HuLlgny2As4CfEZf6po0BbwSuq6Jz0iTSzYjW5cB/ESdmpppROr/KZyofN/C4darTK+Cm+nGT8tTmVrqzYLvfMfVMIjXpJjnbLgGeQgy6ui2z7eFk+ygGYodRL57XuVV2UJIgRqKnz/4toPELSdoByX4fqb5r6pEqRrA/DniA4lFXjyZ/WwWG+6E2WvHlg+5IC1uTf7nbbm2UfTbxpePfxCj2FcATq+lmU68g+ryUxpz8c4mTAI+Q/5q5j/GTKat9jmAfjEGOYN+EzkbE3g+8ZAD9HRbT8bh1ajEet07chcetE45gV56LiefoBZn1fsccHoMcwb4OMall3pUL76H5Cc/ViRM3K/H79LDp1fPqiZNyHMEutWdcipjNafywup7iL5erAF+mOP3DlsBHgVOAfxE/LP4IHEWMeC4yD3grESg6K1n39KStS5N6ziZybq1WUMfqwOuA3yc3gBcBPydOHJxO42VDOwJHA+cTwcl7gGuSdXnHYJS4POmrwI3UJ4fdFzguWXcrcBqtJ7bq9FiV1esA+9rEhFtFPwxPIx7XGHE8R/Or6ZtasP+lmfXTGJ5/tNOp/2jI/iBoNWrwhcTo/GzZs5sVqkgtwD5G5IU/mHhvfJuYjKroZMxRxJcndcYA+2AMQ4A9771fdPsLrVM3TXa1APtyPG5lLSBO3nrcyrmacsF1j1swwK48ZxPP0c34HXNYDTLAfiSNr4E/EhPdNrMqMWFu7feLhovP62AYYJfaMy7ADnAujR9aDwBvo1xw9I3Uv+A8SAR9bs/UexLjv+TsT3yJTuf2PA/4AMV5Uv8GbJiqY2/iS/Gi1D4Xk58fPB0I+URq/c1ECpxbU+seYvwXg6/RmM/v48APC/q5mOLRx50cq071MsA+jfo/qrzbX4kTIE9KrXtKD9rtRu04v4h43XyOOIlSe33dTqRUGeQs968k/3j+oUW5VWh83dRuK8m/jK5KtQB7q0kElxBfjN6KP3p6wQD7YAxDgP0PtH6/XUL8rx3kBMjDohZg/wcet7LmE9+BPG7lXEacmPC4lWOAXXmOpvn7yO+YgzeoAPuajI8FPEr89m31mbop4wc5fbnCPqq8Wfi8DspECrBvAxxIfGc4BjgROIMYyHos8fy/iRgoWzRYV+pUQ4B9V4rP/F+YbG/li6ky5zL+C82BjB9ldwv1HNNH0XzirDvJv7z2wlT9vyJ/VFXeum8mZV6X6U8tMDUCnJradmKqnc8ANxX083bgJ9Rnqq7dfk+jTo9Vp3oZYD+C4ufqX8SVCBDH8e5k/Ud70G437k368T2KX+djDDadzSUFfTqxWSHgaQXlarf/qqi/RWoB9vcDTwXeBRwOHAa8hRhttAODPZkxGRlgH4xhCLCfQgSNX0qcBD6VyD37LeIKq60H0LdhVguwX4DHraz5xGAEj1s5lxFXTHjcyjHArjzfIJ6jQ/A75rAaVID9Dal2bwae3EaZlwELGf/baVATsyrfXvi8DsqwB9i3JQLn/6L+PM8nrnQ6l/y0QmPECZtTifTBg860oMmhIcAO8WFV9CJcQfwgKEqn8WTql1vfR5xBznpNps7vpLatBVyR2f5rYOfUPq+nMWCezk+5JjFpTXr75cB6wEHEiOV/Ux9NfX5qv2wQ81WMfwOmzcrpx4nJeog3aXaE96xU+W6PVSd6FWB/FsVXFSyk8Qfij5Ntf+qy3W6lX9fLiA/iA8m/3OyQAfRvq5x+1G7faFH2JU3KjhFXcfRTOsCu/jHAPhjDEmBX+9IBdpVTC7CrnFqAXeUYYFeeWoB9l0F3RIUGEWDfhPrvvcuAdVvsPwf4AY2/m86ssI/qTC2e4PPaf8MaYN+RCJBn41JfZPwJ1hFiMOLvKI6VXEecnJW6kRtgh5h5/RqKX4C3kp/uIz1q+9NNGv57ar+VmbpOTG2rjfTJOizTn+zo8JNS21YAj23Slz+l9j0+sy19gMaID+u0m1PbfppT9/6Z8o9PbevFsSqrFwH26cQl9Xmvi5U0TjYEkQZnjLiUa1bO9n65jXpfD8ps+xHjH8sg8rPVJg7Ou32xRdntmpQdIwLe/WSAfTAMsA+GAfaJxwB75wywd8YAe2cMsCuPAfbhN4gAe+33x3Jaz2FxAI0pX8eIQXXNYgcajFuI56co7W6Nz2vvDVuAfQT4JPnzKF1O87RB788pk779lO6zRmjq+k/8OHtJxE3ATsCHiFQaWZsSwdrnpdbNY3zw90KKpUdijwDPSS0vS92/gPwfI98CHk4tb5fZfn/q/jXEGakiHwL+TEyomg10b5lZXj+znB7VfmdO3bdklucmf3t1rAbhbcD2Bds+S4zaz6qdAJlBTFg7KEuTv/8i8uynHZNZ3hbYuPIejdfsy+eKFmWvBn5bsO1u6hMGS5IkSdJkdQ/FJ4K3IH4X/QzYILNtjBgY1ix2oMGoDbq8vWC7z+vU8X0i9XBeGrCvkjN6OOVLRPyvyEHALynO2CG1JS/n0KNEnu3H0jiyG2A2cUnGFslyNsi9pEl7P88s79BGH9MeAk5LLW+Q9CfPIy3qOh94JvBiYtTybGLig4uJvE1pZXMzFbXdz2PVS/OIHId5/kRM9JrnZuDG5P6ze9ulUmonb/6Rsy1vxHqry896bdMuyx9I44mDhUSu17wTZZIkSZI0mcylcaDUXCK4dg3wwpwy9xPBtZ9U2zV1qDboMhs893mdWl5F81S+V7ZRxxHkz49YswcxcFTqWLPA8XwiF/ihRNA9bTViclIYn/4EIl1IkQWMDypny7bjhsxyt8HQecSb7XZi1Pj6xGSYVej3seqVT9OYJgciiPtKmo+y/kPyd5AB9toI9sU522bmrMtegVC1vDz8ZTxITNKxPfF+PZi4TOWvXdYrSZIkSRPBKkQA7WBgX+DbxO+699H4m28pMcfc1sToZw2n+5K/P8HndSp7Z4vtd7RZzxEttr8ZU66qC9OJlDDX0BhEr/kekT/yTMafOXwhEWjP5tbesEWbdxCTOkI98FnGXan7K4kTAZ16OfEBPZcIUv4PEWR/DHE5Ua/1+1jV1CYffRPw/JJlVwN2L9h2J/DDFuVrr5ldiYDvCuJMdD/zkW6e/N2LmOQibV5m+X4aR4NXbacm215BZ3km39RhX7pVS6fUyWtNnaulb/olzU/cqbeemPx9MTGJTj/VflA8ncbPNRWr5Wd8PB63suYQny8et3K2Iga0eNzKqX2+7gs8o09t1v6XHsv4dJAaHtsmf79F/HbT8EkP4PsCEfSuWu33xxLiNVI0ankl8ACRRvMu4j1/UuW9UzdqVyRshc9rv9XSHK/O4L/DtIqHnEL+YMqsESIelZdmBiK18e9onQ1DSlutdmc6cCnwHiJvUZFLiLM5p6fWTSPSllyb2XfzFo2ngz9Xt9g3TzpIfSudv/jfDByd3F8APJXIQV+lfh+rmoVEGpKLiQBcGa8jf8KIi4CvNym3KhFUXy9ZHmH85CQPAdcTJ28upNofMo8B1iDS1RyX2faezPJ3gSsq7EueDwLrFGy7kon1BWE34nOhk9eaOrcpsDYxae+yFvuqd95DnKS7AfhFn9ueC+xJjOA5rs9tT2TTiDlNFuBxK2sX4vPluAH3Y6LZhvjuetyA+zHRvI/65+uZfWrzrcTAkFNpfzSc+ut1xCTfZ1D97zZ1Zjr1K5d/T3eD4dpV+/1xGvGbeQvic3cZEXRfTAwMm48DUSaa2nftLxK/l31e+2d74EnEQM/jBtsVdiZ+6xa5mIhPtaPVnHs/YfzcjlIr6xMphoCYDOBOUlH3Jm5n/Gy7zyGCl+l1F7eo46HUvu9Nrf9hav15Tcofmdrv15lt32mzHxsSH8q1fV+T2b4l4x9TNnf6ValtR9Fou0z52sjGXh2rss5J6nh/yXKjRBAiO8vyQzTmQauZTgSMF+aUK7o9RKShaec12Ik/J+1k5xR4OvHPuNaP4ypqv5UzKT42rS5jGjavoLPXmrpzHnHcvaStv04njvsnBtD2Jknbpwyg7YlsOnHcLhh0Ryag+RRPHqdil9Hfq/Ymi9p3o4/1sc3jkzYf18c2Vc43iOeok6s71R8zqP+O2bFPbfr7Y/I6jXhuNxl0R6agvYljf++gOwKcSPN4Uplc+5c3qed++nPVjSaXrUleQ6PEl/4NaD6rbk06x9UYEWi+lfFnpncmJkjNsyX1mXnHiAkyy9ondf/0wr2aeyHjA1HZWamrCvT2+1h1a1saU6hAnEHOG42wEdHPz1G/pKgdqwMfJkaOV/FFrJZeJ30p0BxiJura6PyziasaBuG+1rtIkiRJkiRNKR+nOKU1wIHEaPt2bNZk2xF4Nbi6MEp9NNJHgJc12XcTYK3U8qVEjqsx4P9l9j2soI63pO4fR6SeyVM06eNzR6n4JgAAIABJREFUqI8mv45I55GWzvk2o6AOaHzTPDezvH9meb3M8vQmdUNjgL4WxK3iWFUpb3TIIvLTCa1HjJTfI2dbu7YGzidGlvdS7fmuvSbWINI51HLTH0nkUG72oV2lOwfUriRJkiRJ0rC6johVFs1LOA34KbBui3oeT3GqmR8R80ZIHRsl8mBDBIF/CLydxqT/c4ATqF8usZLxI96PJ4KrNW8ADs3U8VTqQeN74f+zd99hc5Tl4se/ISEkJJSEXoRIkQ4KSFFsiGAvgApHjwfRnxUVFT2Wg2LjWI/osSAWsGNHwWNHVBQQVEBp0oICUgMICQkheX9/3DPu7LyzfXZny/dzXXPt7E7ZZ2en3vPM/fDmJuXaLSlH1tZEg6up/2T6I7ebZ/q3onGQPR9IPYbYmE4gbhy8Jzf81US+8cOIZbNJZtiigvk/NPc+O37Zy6qfdi/47HSmNyo0g0hTsMP00Ts2n8jdXebjuemOeAHxX/ySyF28lHik8A1U+/j21U2GtbqZ08whTF+XJUmSJEmSRsUPiYqYVzYYvh2RGninJvMoiqstI2KLR2Euf5Xg40zPPfRn4H+AY4l0ILdlhq1iesOQEDWY/y8z3griLtDRRH7aNJ/45RQHbrM52NPuBuCTSRlvTj5bTjRwk7UPkcN7ZW76bwKPY3oN9I2IwHWj3EsnE/mX8p9/OVku2c8eSMqzNZF25iDgL7lx/gA8kVpaml6XVae6zcH+TaYvgwMKxntlwXjZbim1/+Y+6vOeN+oup5Yip1ffTuZ5C9Eg0hSRE7WMGwJl2IfGy+ETPcz3J0TjQoNkDsRqmIO9GuZgHz3mYO+eOdi7Yw727piDXUXMwT78zMGuMpmDvTrDlIM9aw7REPpNFMdPVhCZLh4LzEum2ZiIa2bHu5+I+y0aXNE1pv6Vgx3gtdQCjp8h8oQ3CvZdQPMTmhlEUH5xwbS3AZ8iWn4ukg2w303k485OvxK4kGglPK/o+7LdlwqmOZhaiptlyeslRK1fgHfn5vFVYhk1+o7vECcRzcpxUEnLqlPdBth/lSvXP6hPwwMRrChaZ+4B3kfcIFgjU4avEIHzJwCnEsH3Rsvr5A7L28jXcvP9BMMViJxFLK+iZdBJgx1ZC4iDS6MURP3iCW41DLBXwwD76DHA3j0D7N0xwN4dA+wqYoB9+BlgV5kMsFdnWAPsqdnAocAXiXPURjGlZZn+pcCPgFcxvRKu1K1/BdhnETWpIRp8vC/pX0jkOt+FCPL+lahRvDiZsJEpIj/3Sck8HpFMfwkRhG3XX4DHJ2XYHriDCK4vazD+og7mnfopsC3wcKKRySXU58J+B7Gx7k5cHF3f5nxntB4FKG9Z9dO83PsfMP2xmUOAh+Q+Oxs4krhRkLqACKrvSaxnv0y6E4hA+pMLvv8lxJ3Gazsvep37M/0fZnoe/Ko9SOTZf23BsM0LPmvHK4h18StdTi9JkiRJkjRsHgC+m3QAGwDbENkq5hHtIj5AxBDvIuJ5N2MaGPXRLCIH+8dzny8hakSe28O8l9BbeooHiVrsl/Ywj1buo/lvvJbeg7vt6HVZ9Uv+ZkHRsnpi7v15wFOY3gDF75PXHYgd3tLk/Q3AU4mGRl+Xm2YW0fjui9svcqEvEDdTziGeTBhGHyB+5zq5z5vlEGtkIZHG6VTi0SlJkiRJkqRxdGfSSZXJp/uQsu7PvT+vYJxdMv0PEo1DFLXunAbY1yCeGsiaItLlfKZguufQW0OfAL8lnog4geG9Y3kzxY81bkjnQfaTiMZ4/6vXQkmSJEmSJElqbFgD7DOrLoCAeJQmNUVxmpwNM/0/IdIJFbmJCCJDpIkpcizTn1hYD3hU82KOjVOIRn3zju5gHm8C/p1oePb2MgolSZIkSZIkqdgwBdizgdpNKyuFsm7O9N8LrCoYZ2Wm/3ct5pfWYm8UYF9OcX70/VvMd5wcA7yT+gbRXkPUwG9mBnA88EHgf4Bv9qNwkiRJkiRJkmqGIcC+FpGD+wmZzxYR+bg3pP1GQ1W+azL9/2wwzo2Z/ntbzO/i5HX3JuP8FPhT7rNJu+HybuKmQlqbfy3i6YATmd6C+mwi5/3vkuneD7xxMMWUJEmSJEmSJtswBK/vIxq9bOQHwLMGVJZxdQfRqvID1Nc4b2UmMCfpnyJaYM5bkwjyksy7KP960fyWNhlvdjLf1IPAilaFHVMziWWRTZs0lXRQu0m2mlj2RU8ZDNIs4oZAp+uaejOHWEeabVcqX7rcrwM2GfB3zwDWZrL3j92aR+wz8+2MqLm1k9eicwE1Npc4Vrt/7ky6f72WwVW0WIs4j7mf4W2zZ9Kl1wj+R8Mtvbb/K7DFAL7P64/xlR4LllG7/tVgpLEbz5ml5tYgzvd7bjyyDE+ieU36JYMqyBi7ishj/lHgcx1Mty6R1mUmEcw5gLghkrUI+FnSfwVwWJP5bQGck/QfTn0N+azH5cr5Y+D1bZZ5XM0GtgW2JvLSzyOCancCfyZy3A+DpxPrWafrmnpzOrAXsC8GWwfpZOCJwA+Bjw/4uzcFfgP8gkgtpfbMBK4k9puHV1yWUXMesX95fMXlGDVnAtszvYF3NfdZYl07k+L2afrhI8AzgWcTN041fN4JvBB4AbEf1/BZE7g86T8WuHoA3+n1x/j6NHAQcAhwS8VlmTSPAr5IZCnYu+KySMNsa+DnMBwB9vOqLsAESANud9A4qN3Ir4ADk/6F1NK8pK4Bzk7G2R3YjAj6FLmGaDh1AbB+k7Ksm3v/9ybjTpLLW49SufTEp5t1Td1bnrxem+lX/6U1Uu9i8Ot7+j/fV8F3j7L0vGc5LrdOrSKemHC5dSY9B3O5daaK/Wua6vBvA/xOdeae5NVrg+E1O9N/I4P5n7z+GF/psWAx9alp1X+LktfVuF1JbRmGHOwabp/N9D+zwTjHU3tM8/NEDetG0gD9bk3GyaeZ+WuTcSVJkiRJkiSpEgbY1cp3iJo8AP9Ocb78tIFNiMegfwps3GB+VySvOzX5znwu4wtbF1OSJEmSJEmSBssAu1pZSeQ7hEgR84YG470L+FTSvw/wR+CpBeO1E2DfJ9N/J3B+WyWVJEmSJEmSpAEywK52fIlarvy30Tg4/mrgTUSO1i2Ihqk2zY2TBti3pXEbAM/P9H+eyPsqSZIkSZIkSUPFALvasRo4GrgfmAN8j8Z51j8M7AX8AjgDuD03/MrkdU1gu4LpnwbskfTfB5zUdamlyfFPYvv0ZpQkSZIkSdIAGWBXu64EXpr07wD8GFi3wbiXAgcBhzE94HcTtdbAt88NWxf4ROb9O4B/dFleaZK8HHgskdJJkiRJkiRJA2KAXZ34GhH0BtiPaHx09y7mszh53Sbz2UzgVGBR8v4HWHtdatffgYuqLoQkSZIkSdKkMcCuTr0HeHfS/zDgAuA1RMqXdi1OXrdNXtcDvgUcmrz/DXAkMNVLQSVJkiRJkiSpnwywqxvvBF4MLCdysn8cuJpIITOvjekXJ6+7AK8A/gI8J/nsDOApwLLyiitJkiRJkiRJ5ZtVdQE0sk4Dfk+kddkH2Br4LPBJ4NdEI6c3ArcSwfI5wDrA5sBOyTwOTDqIBk2PBz6GNdclSZIkSZIkjQAD7JNhbvK6Gd3lTG/mZcCTgKOJwPlsooHTg9qc/g4i3/rXgduA3UounwZrq+S1H+uaNGzShp43YvDr+ybJ63oVfPcom5m8ro3LrVOziGO8y60zc4AZuNw6le5fN2Zwy2795HUHYl3X8Nkged0eeKDKgqihbNrQ7Yj9X795/TG+0mPBTsDCKgsygdL28mbidiU1kx6DBnLAU/VuBzYEltLf1CvpxfdsYkecT0E0BaxOuvTk6/Y+lkeDtxZxItTvdU0aBusQ+7u/UrvoH5Q1ku9cAfxzwN896jYCVgJ3V12QEbMBcRxfUnVBRswC4vzI853OrEucK15FnMMOwnyiUsqdxLmqhk/6H90FPFhxWdRYek50ObUKAf3k9cf4Wpf4f90vD96axPJfhefMUjMzqVXS0AQ4m7goPm7A37smcad5IfW1GXZKyjNF1L7U+DiCatY1adJsSWxr3666ICNmFrHczq+6ICPoFmptqKh9F2MgcFTMIWrcanh9gtiH7111QTRUvP4YX2cQ/+2WVRdEkloxRYz6aSXFNd3uyvSvD9wzmOJIkiRJhZYD11RdCEmSJI2efAoPaRCyj+6tU1kpJEmSJEmSJKkHBthVhRWZ/rkNx5IkSZIkSZKkIWaAXd04mMiHdhsRLL8KOJ7IXdmObAMlazYcS6Noae5VUn/cn7y6rXVmikgD4XLr3DJcbt1YistNKovnmZIkSapMWY2czgJOo9ZAab47F5jfxnzmZabZp8cyabjMBp5Le+uBpN48Fdiq6kKMoMcDO1RdiBG0D7Bn1YUYQTsDj6m6ENKY2Ah4DjCj6oJoqNjI6fiykVNJ0lApK8B+Mo2D62n3pTbms2Fm/N16LJMkSZIkaTIZYB9fBtgljQxTxKhduwMva2O8FwLbtxgn27DpsoZjSZIkSZIkSdIQM8Cudj2T9h7HnAE8scU4D8n039Z1iSRJkiRJkiSpQgbY1a7NOxh34xbDt01e7wLu7a44kiRJkqQJ92DuVePD/1bSyJhVdQE0Mu7uYNxbWww/MHm9osuySJIkSZL0U+AE4BsVl0Pl+wBwLnBL1QWRJAnKaeT0GFo3cDoFrAS2bjKf2URamCngbT2UR5IkSZIkSZIqZYoYtevXbY73IeCGJsNfBGyU9J/RU4kkSZIkSZIkSeqzMmqwA1xP45rrq4GTaH7TZn5mHgbXJUmSJEmSJI00c7CrEycCpyT9y4HTgHnA34BvAxe3mP4jwCJgFfDOvpRQkiRJkiRJkqQSlVWDfSbwB2q11s+g/TRD/5mZ7q09lkOSJEmSJEmSpIEoK8AOsBVwK7Vg+S+BzZuMPx/4ZGb87wMzSiiHJEmSJEmSJEl9V2aAHWB3oiHTNGi+lEgXcxiwN7AH8DTgo8AtmfG+A8wuqQySJEmSJEmSJPVd2QF2gE2A79K40dNst5RICzOzxO+XJEmSJEmSJKnv+hFgT+0HfA64memB9SuAdxNpZSRJkiRJkiRprMyqugAaeecnHcBcYB1gFXAP8GBVhZIkSZIkSZKkfjPArjLdn3SSJEmSJEmSNPbWqLoAkiRJkiRJkiSNIgPskkbZfODQpFur4rJIvZoD7Em0bbFObtjuwA4DL9F0M4BHAm8k0oJlbQHsPfASqRPrA0cCTxngd+4BHAtsNMDvHAY7E79746oLIkkq1drAYcT1h0bHI4EXMhzn0wprE9cO+wObFAzfCnh0id9n7EBSz/rZyKnGz6OBPzfo3tzF/N7ZZH779ljWb1FrVPd/epyXVJWtgB8Q7Vak6/Nq4BrgNODlwBJifa/CpsCLgS8D/6BWxmzg8Fii/Y0p4GLihoCGwybAMcDPgAeI/+i0Pn/nwcAngBuorS8P7/N3Vm0GcAjwUeBKar/7EVUWakJtA1xI43OPPwOn5qb5Qovx/0zcRJQ0mbYEXk2cry0l9u/fr7RE6sSu1I7Ly5m8m/7DYg3iuuabwFXUrh3S7h7gIuDjwKuA64E7S/x+YweSemaAXZ3YHHgT8B2mH/SWAPM6mNe6wD9z85gCzgPeDmzWY1lvyszz/BbjSsNod+BeauvxKmJdvpjp299vKyrjM6hdTGa7bID9itywzw+4jGrsYKavS6f1+TvTQH62G/cA+xzgZqb/bgPsg/dQ4HjgAqb/H0uIC/dn5aZ5FfAlpq+7q4kg2nF0dv4jabwcS+wPsvsHA+yj4/9R/989udriTKRtgd8w/Rh7JfA94BzgNqYft5eVWAZjB5J6ZoBd3TqN6Qe513Uw/bEF019F1PQrw4eoHZw7KZc0DNYELqe2bXyWqC2eegT1AaLFAy5f3qtpHGA/MzfsjoGXTs3MI27QDCrAPgN4JvXrRLcB9o2A7Uoq1yA8BQPsw2Imsd/M/h/PaDHNe3Ljf6eP5ZM0WtYBfo4B9lG0BXA38b/dSKQm0eC8HLiP2rZzP3Fje93ceLOANzC9gt4wxw5G7TxVUo8MsKtbr2V6gHwxcfBrZQ3g2oLpTy+5jLsQtdWkUbM/te3idiLgnjcX+GMyzgrKO8HsxjY0DrBvDbwL+GEy7O8DL51aOYnBBdghjhPZtEfdBNjXIM5hTi2xXP02k/rfbYC9WmdRv996SIvxD8+Nf3xfSydp1LwTA+yjaj7wKIrPt9U/T6D+uPpXYLcW0+xHpPJJpynzhkiZsYNRPE9VH9nIqaRm/lnw2dbAc9uY9plEQK6defbiMiI/mzRq9s/0rwBWFoxzP/Ac4iRzNrDhAMrVSLNt9wbiovMTyfvf9L846tCKAX/fg0QNoV68i7gwq/LGUqdWEb9dw+HeFu97HV/SZBn0sVTluQ/4HcXn2+qPucApmfdTwAuIdk2aOZ+o6JedT1nKjB2M4nmq+sgAu6RutPM0xLHJ61n9LIg0wrIni1sAz24w3g3At5P+zftaot7sSdTgWEaccEq9OJRoq0OSJEmj5wTq06ecSjRC3o7PApcm/cOY0sfzVE3TTpoHSfoCUYt2QfJ+T+CJwC8ajP9w4HHEXeqTgKe3+T3zgMcAewE7EXmcLwO+S+MWxB8CHEkEKycpqDcTeCzxv/yOSL2zA9Foz97ArcCPiVyRjXSzvFWefO2JLwB3Ab8qGPfTwI5E4z9Fuv0vdyJq0u9FPDp7FbE+ndPOD8jYIyn3XcAByXyGVafLag3g8cSTO18E/kTkcX46cA3x34zq9vIwoubNfsSNkT8QDT02qoHd6z5jDnFsOARYH7iI2Ef9NTfeEcSyTmsEbUPs5wH+QefrZ79sTuyHH01sP5cA32xz2k62vTL29yqf+5LydbOMBrktHQA8iUiDljaKq3LtyvT0EVcR6fIg1oV1csP/Shy/UmXsM2cB+xL7992JxhF/jTVV27GQ2G4PJNJs/Y1Il3YQcb6Y7iez54rbEucjjwKWEttvqzYwOj2HnZWU4VDgY0k5sjYn1pn9gRcT69HBSbkWEMHeU4lzXbU2H3hj7rMPdjD9FPAW4vp+qsE4/YgdPIJoT2cb4B5ivbqV2N//KBlnVM5TJfWBOdjVraOIdedjwInU50/7cZPpTqOWm/AhuelOaTDNI4Crc+Om3T+IC5rUAqI1+HOIFARTRAN+k2A3YhlmW1n/EPBeIjVBftm9pcF8Olne6o8tqc8vOEWcvL2Zzm6Ad/NfzgI+QG37yXdfYfrjmBvmxsnmYN+NOJndpINyV6GTZbUz8N/EhWE6ziuIoHB2uvcOqOy9+gD1OdjfSvFy+DXF+Um7Wc8eyIxzFLUGxrLdCuDozDQHNPiOtPtqpz+8T15ApHCaIva9aYNc91Bf3nwO9k62vbL295Ps69Qvo/VbjH9IbvxjG4w3yfuSfuhmGQ16W9qE+n3aK3v90Sr0H9Q3hjhFXIekziwY/vFkWFn7zA2AX2bGu49IK5Kf3hzs9Y4Gfkb9sjoQ+BrTl90UsZ+cQ1QwKRr+kQbf0+k57H7A/xJB0ux3p44Fzs3N75HA5QXzvpbhfpp0mOxL/bK7ruT59yN28H5q+4rFRHA9neflyTijcp4qqU8MsKtbR1E7sd2U6cHA3Qum2SQz3uNoL8D+JCJQsZJ4lGxPIu/alZnplhCtdAOcwfSD2aQE2B9DHPCLDuh3UX8iMEX8F1vm5tHp8lb/vIfi//JS4r9upZv/cgZxATRF1Lh9YjKfL1DfOON7ct/VLMA+CjpdVvnATqOu7Iab+yUbYE+7+4mLyutznx+Vm7bbfUY2GNWqS4Ps6xA12L6SGXZp8tmjmF5zsQpvp1a2zwPrJZ8fRi3QnnbZAHun214Z+/tJ148A+6TvS/qh02VUxbb0zNw4Xy/ll6vIXOBmasv6Y7nh86kPoqcB9jL+562IpyWmiNqwjyPWtw2JgHp2egPs9b5B1BouWv5XERUx/pH57G5i+50igq/fon4/uopo+yur021/C6Yfl6eoD77+gtoN8+y6sRq4gmiLIzvsk90tnonzEuqX22dKnHc/YgfPzgz79+SzGcn803UURuM8VVIfGWBXt46i/sT2c9QfmL5UMM0JybCLkvetAuyziJOXKaL2Utb21J8snZR8vi5xonsWjQ+S4+4X1C/XbxKPyUE8Xp0d9tLMdN0sb/XXCTQOJnyeWmqmvG7/yxdSu9jM1zj/Ymaa5bnhoxxg72ZZzSYeVc/XkHoF8ej52cQj6U/tc9nLkg+w/5LaujWfeKQ2HXZGZrpe9hn5APvriWDGZkRtsuywf1Dbh+XLe1rHv7Z/dqX2m89ierqAF1P/u7IB9m63vW7395oeYD+ZOKdp1OUvwvMBdvcl/dHpMqpiW5pPBGymknI+p7ufqjZlt918gB0imJsO/3huWC//c3a+++SGzaE+SG+Afbp1mb4d/0dm+A5Mf5rgTZnhc4m2h9Jh+RQj3Wz7axNpXrLfmX/q7jG54UuIlEIQAdMzM8NubLYA9C8nUb9M39bGNEcCr2rSPZr+xQ6+lHz+APXndmsQKapuyo0/rOepkvrMALu6dRT1J7Y7UX/S9AD1NT/Wovb43b8ln7UKsL8yM2wb4iQo2/0lM/yK3LRvoPFBctxlg1M/LBh+XWZ49pHqXpa3+uclTH9CJO1uJU4o87r5L9ei9gj+FwqmOTz33c/PfN8oB9h7We8XZ4YV5ccfFdkLgauYngbmjZnhF2U+72XZZQPsLyso02nUr1OvalDe09r8jYPwI2rlKnrKZB3qj5NpgL2Xba/b/b2mB9g77fIBdvcl/bWY1suoym1p/WR+2xUMU7k+Q+2/KAqwn5wZng+wd/s/75f5vFE7Ux/OjGOAvdjfqS2jFxcMvzAzvKg2ePa/zf73vWz7UF+TPR9g3yA3bf7myosyw1YTNwXV3P9Rv0xf3cY036B2IzPfLQFeR/9iBz/JDDsiN+wYpud0H9bzVFXIRk4ldeIK4kQ1bbR0TeLiM715cyQRdLuR9ht6e3Km/9oW4+5InAClB7h72/yOsiyk/aDiXURgtF+WZfpvLxj+W+ChSf+6mc97Wd7qn88TN0M/SFwgZG1MPA57OHGymurmv9yKuOkFcdFTdOGT9WjiZHfUlbWf+UKZhSJuUM5vc9ybKG+fdx7xWG3W4kz/hpn+svYZFxZ89l7iojWtKVSUdmyYbE1tedwB/KZgnHuJGwtr5T7fme63vW7395ru1UQDeo08gfralnnDui/pxDpE2oR23Mdga2u2s4yq3JbuZjyOieOu2//55Zn+7zaY9x09lGtSLM/0LykYfnOmv+j/uS3Tv2mmv5dtH2L/0ih9x7Lc+9ty77PB2BnUnmhRY/fk3reTevT5RIzy49S3c/Er4vi7nPobW2XGDm7I9H+VaBD5Xck0X6f5uYMEGGCX1LkPUQuwQ9RKfA9xEE1rev0v8XhWO7bP9LdqWfxBovZBVY4mfn87PkbjxtEGodFJwCgt70lzPfBcIt/nl6ldREA8MvsV4kQxPenv5r/MTnM58ahkMz9vMXxUlLXeL2/webc+Tf3+tJlDge+V/P1Z+YvLVFnLbqrgs2uIYP+jkvcPazH/qu2U6f97h9P2c9vzoq99XyOCpI3cQvMA+7DuSzrxZNqvBHEG1aVCabSM3JbUq0b/cy/7eLVvRYvh2W0/e7O6ynNY9w2d+zP1NcG3bzRizoPENU82wP5jautFv65lv0A0hAqRFuaNxBP5b07Kc2qb89EEM8AuqVO/Bn5P7dG5dYgcmRcAexC1nYoaMi2yBvFoF0Q+vuOJmn/Dailx8d2OQdeub8eoLe9J9SuisZ6vAwdlPl9A5C88lu7/y+xJ6XeAd/Ra2BEwzOv9XbS/T2l1QdoPg1h211ALsA977esdMv2dBkgncdsbN8O8L+nEctrf7zS7GVEVtyX1Sy/7ePWf2/5o+XPufSeptfJPB6RB8n4eh88nrrE+Su3Jys2ISk8vIG4W5GvlS3UMsEvqxoeIlt5TryVacoe4+9vuBdlMajnsZhIH3svLKGCffDrpRtWoLe9xtjmRx/PVRJA17w6iluHp1KeMSXOxd/tfzs3079hBeUfZMK/3L6q6AC0MYtllHw+/uuR5ly37qPpmHU47idveuBnmfUknzqTz9XeYuC2pH9YicuynRnkbGVdu+6MlH2DflUh7mU+/U2RVg8/7fRz+GHAZkbpzq8znTwZ+BzyFaAdAKrRG1QWQNJK+R33Os82JA84qihsiamQl9Xn4Dm4x/vOJ2vLqjst7eOxFtFnwxibjrCIC8Nlc2WmtjW7/y8WZzw4gGgNqZF3gE9SnqhlFrvfdG8Syy9Za/0uH0w7aTZn+Leisxv3iTP+kbHvjxn3JcFic6XdbUllWUN9+yM5VFUQNLc70u+0Pvxuob2R0bSKneS/6eRzehYhp/JzY/t8N3J8ZvjPRyKrUkAF2Sc3MS17zJzCriMen8s4AruvwO7LjH080JFpkD6KF7j06nL/qubyHQ1pT97U0bzj3NurbM8jWdu/mv8xOsxnwpibffTK1XISjzvW+e/1edtlHhosaQoX6WmtVytawXxN4aQfTTuq2N27cl1TPbWny5BuNhvrGuMuS3ce/GJjTh+9Q99z2R8sU0XBwtg2e/0d9Wwfd6Ndx+P3UbgAsBd5J1LrP3iRo1G7SsJynqmIG2CU1kx6wik5iT6W+pgfA/xSMt17ufT5Y/5vc932p4Pv2B35K5EM7MfP5mpn+SUt51Wr/3Wh59LK8VZ7rgdVEGwbfpva4Y948ankAob7Bpm7+yz8R7SSk/hM4LDfNXKIdhSOBz1Fr6Gtmw18z/Mpa70f5vGnNBv1Fn2X3H/3cZ2xPNOoL8LNkHqnsjaVhqUn4J+rz8r6eqO2U9TDql+WWmWm73fa63d9r+lMGzWo8tjO++5LBabSMqtyWnk/kfn49naLAAAAgAElEQVQP9SmjVL5szdFnUn8OspD6Nmo2yU3b7f/8u0z/RhQHcHfN9G9ZMFytZc9ri84tZxR8Br1t+9D8utHjbH/8hvgfUjOJ655dWkzX7P/oZ+zgabnPrwOelHm/QaZ/GM9TJQ3A2cSdw+OqLohGTrru3EFxQOZdyfAp4LwG83heZpwp4KLc8AVErdzsOLcRNQ/OAf6a+fz43LTvyQxb3O6PGhOnUvvtZxUM/2Fm+P9lPu9leatci6kt6+8w/eRwDaJNg3Sc5cAjMsO7/S9PyE0zRQTufwD8BFiWfHYj9QGEp+amGaX8l72s9zdlho3ycfRL1H7HLwqGvyIzfCm1i5telt0DmWHPyQ2bB/w4GXY/0xu/em1m2geIYMqeRKOoL2znB/fJf1O/LK4lbhLMI1Kl/TE3/FyiYSzoftvrdn+vqJGaXd5PbDH+23Pjfzk33H1Jf7W7jE5g8NvSjrnvu53ic2OV49XUL++vEw1iH0kcB/Lb4KHUKgZ1+z9vRDRimJ33iURKsK2JRjWzw1YA702GqWYJtWV0dMHwn2eGf65g+Icyw/NPtp1A/X/Q7ra/FhEQTac5KjffrXPz3Ds3/JG54fsUlFvF1gN+RP3yWwa8ssH4axLpfbLjvyozvF+xgzOTz1+d+3yzzDTZ/cmwnqdK6jMD7OrEQqI2wNeoP3CdQwQJsicrG1E7kXlubj77A68hag7kT4ROIR6xWicZ9z+InGr58bLdJzPz3pS4w/y33Dhvpr6F+XG0LnGyegf1J/gvIpbLRsRyWJ4Zfi+xjNOaeZ0ub/VH9gJjirgg+Qjx+ORriZtR6bDVFF+kdPNfrgP8ocU0d1CrjbE2sT2fnRvna8DujM4j1J0uq92Ix0Wzw/9G1KQbpVpr6xL79DupvxA4mqj1N4cIEF9G/W/9b2q/s9t9RvYiZxnxqO5rgbcClyaf30xx0DN/MZt211Bt43PrAhcXlCvtipbTPURwrtNtr4z9/SRaCDyLWN+K1p9XMv2R8ccRtVXvzI3/ABHseQq1J40mdV/ST50uoyq2pcMKvuNZvf90NbAx04Noafcgxf//2+n9fz6a+kBsO90p/VgAI2grYvlml83viWP82sR/+lzql/9dxDXdQmK7Ppj6CigPEv9PevOk021/NvHUwf/mxvkjsd9fhzjf+EZu+A+ARxM1rp9IXAdnh3+HaE9J7ZkBHEMtbpB2dxLXFycBHyRueN3K9P8qX+O90+NwO7GDNMD+IPA24KFErv8zks+XU3/jZVjPUyX1mQF2deL5ND9YHZkb/9NEuov8I36tTn6mgAMz4z8auKpgnKuJk7Hs44I/bjC/tCvK1Tgumv0/X6X+bnq+OyIzn06Wt/rjZGKZnwz8irgILPrfLiRO4hrp5r9cC/gU0090HwQ+S33ai1b7hKd08qMr1smyWl0wXtrdPbgi9yzNf1nUfZ64mG00PFuzr5v1bAtiPbuc6QGLu4DTiYBHI6fmprmQ4agpOIfYbu+nvnx/J7aH5cT2/D1i2WRvQpW17XWyv580rfZZU0QwJSv/X+a75UStudQk7kv6qZtlNOhtaR7xxEq2du7bevnRaukg4iZs9v9YnHz++uT99cRNsH2J/6qMfeZjmf70ywpiv5HWgL2GaARxlJ7m67dm2/HTmV5RI9udyfQnBLLdDzPf08m2/6wm85wiKhNc0WT4DsTTKkXDrux+UU2srYH/Is4LGy3zlcTx9QvAITROF1N27OBTxLnAkoLhV1FLaZh1am68YTlPVUUMoEyGs4EnEDVzPlxxWaRWNiBqls0gDmY3Vlucsefyrs6exIn715P3s4g0GbsQNS0WEyegi4mTtla6+S9nEo0NLUrGv4r6vKfjyvW+e90uuznU1u0riUBVO3YmahH9iQi0DJNZRPkeAvwFuCH5/BDgApoHTyd12xs37kuqN+htaQHwLaJW6/OSfvXPWsSxY3MihdAlRCB3K6JW88V9/O6NiO17OfFU4XJgW2IdyKe81OB5HB1t2xHB6M2INDLpf3gtEWRvV1nH4TWJc9V7kzJtA6xP3Ey7BljVYLphPk+V1AfWYJckSZKk3iwiarTeAsyvtiiSJGlY2IK9JEmSJEnNPQI4j6jleBRwX6WlkSRJQ2NW1QWQJEmSJGnIfYpIE/IkIi2UJEkSYIBdkiRJkqRWXkHkAb+j6oJIkqThYoBdkiRJkqTmLqm6AJIkaTiZg12SJEmSJEmSpC4YYJckSZIkSZIkqQsG2CVJkiRJkiRJ6oIBdkmSJEmSJEmSumCAXZIkSZIkSZKkLhhglyRJkiRJkiSpCwbYJUmSJEmSJEnqggF2SZIkSZIkSZK6YIBdkiRJkiRJkqQuGGCXJEmSJEmSJKkLBtglSZIkSZIkSeqCAXZJkiRJkiRJkrpggF2SJEmSJEmSpC4YYJckSZIkSZIkqQsG2CVJkiRJkiRJ6oIBdkmSJEmSJEmSumCAXZIkSZIkSZKkLhhglyRJkiRJkiSpCwbYJUmSJEmSJEnqggF2SZIkSZIkSZK6YIBdkiRJkiRJkqQuGGCXJEmSJEmSJKkLBtglSZIkSZIkSeqCAXZJkiRJkiRJkrpggF2SJEmSJEmSpC4YYJckSZIkSZIkqQsG2CVJkiRJkiRJ6oIBdkmSJEmSJEmSumCAXZIkSZIkSZKkLsyqugCSJEmSJEmS1KGdgIOAvYFtgAXAbGApcAtwFXAu8DPgnorKKGlMnA1MAcdVXRBJkiRJkiSpSzOAZwPnEbGudrplwCnAosEXV9K4MMAuSZIkSZKkUbYrnQXW890DwPuAtQZdcEmjzwC7JEmSJEmSRtULgfvpPrie7f4APGSwxdc4s5FTSZIkSZIkScPqpcCXgDklzW9P4DfAViXNTxPORk4lSZIkSZIkDaODgZOJ3OtFpoBrk+5OIg3MPGBLYAdgYYPptgbOAvYnGkWVpKZMESNJkiRJkqRRsh2whOkpXlYBZwJH0DiADhGU3wV4O3BNwXymgG/TOHgvSf9igF2SJEmSJEmjYjZwMdMD4t8BHtbF/NYgAvLXF8zz2BLKK2nMGWCXJEmSJEnSqHgP9UHw24FnljDftYFP5+a9jO6C9pImiAF2SZIkSZIkjYLdgZXUAuCXAYtK/o7/yH3Hb0uev6QxY4BdkiRJkiRJo+Cn1ALf1wGb9el7/h1Ynfmu5/bpeySNgaoD7OsBW1T03ZIkSZIkSRoNB1ELeP8D2LbP33ds5vuuBmb1+fskjagqA+wHEnmylgI7V/D9kiRJkiRJGg3Z2usHDeg7v4m12CW1UFWAPZ/P6jJg7oDLIEmSJEmSpOG3LbWULZ/rcNp5wHOAlwL7dDjtxsAdyff+vMNpJU2IKgLsRwCrqG+VeQo4cYBlkCRJkiRJ0mh4FxE7WkKkG27XvkQ6mWz86bvAWh3M4yXJdKuBrTqYTtKEGHSA/ZHACqYH16eSz3ccUDkkSZIkSZI0Gi4hYkfv72CaeUwPrqfdhzuYz2zglmS6YzqYTtKEGGSAfT2iheeiHVvafW8A5ejV+sAJwP8CB1RbFEmSJEmSpLG2iIgZrQS27GC6Z9E4/nRrh2V4ZzLdzzqcTtIEGGSA/aM0D66nj9s8fABl6cUB1Mr7rYrLIkmSJEmSNM5eS8RgftrhdC+mcfxpZYfz2iaZ7gFgfofTaoKtUXUBNFa2B17dxngzgLf1uSy9ejDT3+kOWZIkSZIkSe07OHk9p8PpLulyWJHrgL8BawL7dTitJpgBdpXpbcROqJm7k9fnAJv3tzg9yQbVH6isFJIkSZIkSePvkcnrOR1O90fg2wWfrwbe3kU5fpW87t7FtJpQBthVls2Bf2syfCXwEeChRKMRs4CXDaBc3VqV6TfALkmSJEmS1D/XAr8HLuhi2hcAHyAaO30AuBB4CvCTLuZ1CnAbEbuSpH8ZRA72N9I459VNwKMy434l+fz6PpanV7tQK/8nKy6LJEmSJEmSpCFkDXaV5TkNPr8K2Av4XeazC5PXRcD+fSxTL7I52K3BLkmSJEmSJGkaA+wqwxyKG39YDBzI9Mdq/pzpf36fytQrA+ySJKlqawGPwXN2SZIkaWh5sq4y7ArMzH22EngecHPB+Ddk+p/cr0L1KBtgX9lwLEmSpP55EfBrosKCJEmSpCFkgF1l2KHgs/dSSwWTtyQ37Rall6h31mCXJElVWy95Xb/SUkiSJElqyAC7yrAg9/5m4ENNxl+We39AucUphQF2SZIkSZIkSU0ZYFcZ1sm9/wBwf5Px5+be71JucUphihhJkiRJkiRJTRlgVxlmZPofAL7SYvx1c+93Krc4pbAGe7XWAWZXXQhJUmlmAAurLoTUZ7OZfp4r9dtC6q/H1B2vPyRJXTPArjKszvT/jPoc60UW5d5vUmppypGttW6AffAuA06vuhCSpNK8HrgdeGjVBZH66HTgL1UXQhNlC+BW4K1VF2QMeP0hSeqaAXaVIRuM/m0b4++ae79e4VjVWpXpN8A+eA8Btqq6EJKk0mxFnHcOY8PmUlm2Is5hpEHZDJiF581l8PpDktQ1A+wqw/JM/x/bGH/f3PtZJZalLOZglyRJkiRJktSUAXaVYWmm/9YW464BPCX32T3lFqcUq4CppN8a7JIkSZIkSZKmMcCuMvwz0393i3EfC2yU++yucotTmrTmej7APhOYP+CySJIkSZIkSRoytjY+GW4FNgCuA/7Qh/lvDByY9P8QuLfJuI9mem7Kq4A/9aFcvTqcSF/za+ImwMOI3LHrJsPvB/4KXEmttrvKcQTRWO5Pqy7IBNkIeBS19V2t7QgsBC4GllVclm7sQey/f477sE7sAGwH/Jj69jrU3J7EcfQXRGOnas+OwMOJNm7+XnFZBmknYAGjt389mDgujFNDiR4rhttCYr27Brio4rJAxBf2T/p/zXCmAm3E64/xtB7weOB8Wj9tr5r1gF2AFfQnhiQNq62JuN8dRLwv7+HA2kUTjtIBT927jTgxvhL4fR/mvxG1APvVwN8ajLcQeF7B5xcxnDvtZxHbyFrAk5PXrLnERccq4CuDLdrYO4K4oO7H+qpiBxDr9BLgworLMip2IxrDuoTRXFf3JW6+/oH6difU3I7AOsTN4SUVl2WUbE4E2C8Hrq+4LKNkHnEifw2xr5kUuxP714sZrf3rAcT57iiVuRWPFcPtIUSA/XaGY72bCTw/6b8BuLPCsnTK64/x9AjiGuc+/G878TAite8y4NMVl0UapE2Ic9AlFO8zHkc0MK4JdTZR4+S4Ps1/LWo5y5/bZLwvJ+Pku0V9KhfAbOKk89nAQzuc9hZqZVwJfISo1f5Rpv+Go8oprhJTDEctnElyDK7Lnfo+sczeVXVBunQuUf45VRdkxJxO/49d4+gkYrkdUHVBRsxxxHI7vOqCDNhZxO9+R9UF6dBFjF8tb48Vw21v4v85ueqCJGZTuz7areKydMrrj/F0BP2NhYyrg4jlZmUSTZoPEut+o6cRL6U4rjllDXaVYQWwGNiGeHS+yJ7ACwo+/2Mybb9sB/wk6f82zW8A5K3M9P8b8K3MfDYEXpgZ/hbgtO6KKEmSJEmSJGkU2cipypI+trxrwbCZwCkU5/zvd47KbH7clQ3HKpY2bno1teB66pTc+x2IPE2SJEmSJEmSJoQBdpXlguR1v4JhrwP2Kvj8XuCzfStRyAbYH2g4VrE0IP+XgmFXFny2UYfzlyRJkiRJkjTCDLCrLOcnr1sDm2Y+3x04scE0nwbu7meh6C3Ano6/rGBYvsFTiIZ8JEmSJEmSJE0IA+wqy/nA8qT/ccnrXODrFAejb6Fx4L1MvaSIaTb+Hrn35wJ3dTh/SZIkSZIkSSPMALvKsgI4L+k/OHn9LLBzg/GPBe7pd6GA1Zn+bmuwF3lZ7v37Opy3JEmSJEmSpBFngF1l+nnyejDweuAFDcY7E/jGQEpUTg72vMcAz8i8/yLw4w7nLUmSJEmSJGnEGWBXmX6UvG4JfLjBOLcDLx1McYDeUsSkAfmZmc8WAF8AZiTvfwK8vLuiSZIkSZIkSRplBthVpj8B/0j6G61bLwVuG0xxgHJqsM9OXtcBfgBsl7z/KPB0Ij2OJEmSJEmSpAkzq+oCaKxsTPNa4h8lAtSD1EuAPR1/AbAJ8ENgL2Ap8BIGl+ZGkiRJkiRJ0hAywK6yzCWC51s1GP474M2DK86/9JIiJh1/Z+B8YBFwCfB84KqeS9a5tYH1gHlJ/0rgXuAW4MEKyiNJkiRJkiRNtBmtR9EYuJWoXX4XcE+fvmNjIuhbZBVwM/XB7kGZAWyd9C8B/tnBtBsRwezUvck8psopWltmJ2WYSy1VTd5qYDlwN53X0h9Wi4jfcnPF5Zgk6wILgTuA+youy6hI93tXAnMqLks3NgPWAm5gsPu1UZceG27Em5udWEjsZ24hjllqz3rEk3S3E0/QTYpNiHOfK5LXUbE5cb62uOJylMljxXBbi/iP7gXurLgsUH/t9Udi3z8qFuH1xziaR5y79TMWMo7mEsfiVcDfKy6LNEgLiPPvpcT5d156rjeNNdgnw2IiEPRV4Gt9mP9xwKENhq0AXkkEoKqwJvCrpP9zwBkdTPs2Isc6xHL7RInlamVzovHUg6jdCPsNcCZwGXFyMD8Zbz/gyUTjsl8DPs3oXwD9DrgOOLrqgkyQw4E3AJ8h0iGptQ8AjwHOJRo/HjUnA7sD/8H43JwbhHcT++bXUWt3RK0dCzwPeBfxNJja82/AMcBJwC8rLssgfRh4FHHuc1q1RenIF4Adif9tXHisGG47EuvdL4APVlwWqL/2+jCjdbPJ64/xdBBx7tavWMi4eiTwMWAZ43VMk1p5NfAC4DzgHQXDvwxsO9ASDbH59F4TZivgSOIEYhScTQRcj+vDvF+fzLtR96I+fGcn1syU5cUdTrs/8FPgvxhsg8CPJ2qjp+VeReuD2kzi/70fOLWfhRuQKeCiqgsxYY4hlvtRFZdjlHyfWGbvqrogXTqXKP8o1r6v0unEcltUcTlGzUnEcjug6oKMmOOI5XZ41QUZsLOI3110YTPMLmL0KznkeawYbnsT/8/JVRckMZvaNcxuFZelU15/jKcj6F8sZJwdRCy3JVUXRBqwDxLr/ukNhl9Kg/jnpNVgXxv4G/BXotZvu+YRF4QHAocAeySf/5h41GhSPZ2omdBMp3nPy9ZLDvbzgINLLEs7ngF8i3jcM/VFWt9tX0X8F5cSQb+rgPf3o4CSJEmSJEmSwiBr5Q6DFxD5dPalswD75UQw/c3UguuTbkfiMatG61D6COkzBlOchlZTq0k07I+1bkcs07Vyn5/SxrRPAH5Orfb6+3BdlSRJkiRJkvpq0gLsx2T6j+1gukcTtbUvLrc4I2t9opb0ug2Gfx94b9J/MNWvZ2nN9XyAfSaRMmgYzCIeQVkn9/ndwAUtpn0qkcrmiURO9jnEMh+GPIySJEmSJEnS2Ko68DlIjyUa6EkdBjykzWlvJBr9a5SDp8g7gGd3MP6omAl8HXhYg+HnE/npz0reb0DkBqxSGlhfCWwG/DdwRfL+XuL/fQvx26ryPGCvgs8vpnkuzzWJGu5F6Z6eRDR8KkmSJEmSJKkPJinA/prc+1nU12hvx/Vtjvc04AQibce4eR/w5AbDriFSwtxPBIZvTz4/ZADlaiatwX4okX//LUSKmxnJ51sQQfcvD75o//LGBp/f0mK6fYjyF5kBPKbrEkmSJEmSJElqalIC7FtQXJv8/xENn7arWU3i1CIiUDujxXij6PFEHvoiS4CnAHck76eInOAQLVBXKa3BfjSRPuV/gOcCJ+XGOxI4anDF+pdtgT0bDLuzxbQbtBi+aefFkSRJkiRJktSOSQmwv4KosX4JcE7m8wXAf5T4PRsSqWQWlDjPYTEL+ATFNw6mgBcSNdizfpG87kdnNzLKtjLT/29EbfFvA68HvpIb9y2DKlRGs8ZI728xbX6Z5/2jw7JIkiRJkiRJatMkBNhnAy9L+j9FBImzXkc5tc13AX4F7Jz57EDgM0lXFLjdBjieCPZeDdxK3AD4GNGo6jB5FfEbi5wI/Kjg8zTAPptqU5WkNdivBr6VG3ZK7v0ONE650i+7NRm2qsW0lwM/azDsNuKGjyRJkiRJkqQ+mIQA+/OAjYG7ga8C3ycatUztQOOc4p34MPXBdYBdieD+y4D/zA17CVGj/t3AwURwfSXwOOC1wJnAN2idAmQQNiRyyhf5FfDOBsMWA9cl/VXmo09rsP+lYNiVBZ9t1MeyFGm3sd1GDmf6jYM7ibRI9/Y4b0mSJEmSJEkNTEKAPW3c9IvAUuBB4OTcOK8v4XsOAxYCV2U++3Ly2ULgoZnPPwR8DpgPnJsMOwDYksgN/mAy3vOAPwLrlVC+XryX4rQ3dxIpV5rVsv5l8lplgD2twb6sYNhaBZ/d0MeyFFm3x+n/SawruwAvBZ4PbAec1+N8JUmSJEmSJDUxq+oC9NkjgX2IHOGfynz+WeAdROoSgCcRwcnLeviuZUmXDTbflXRZe1IL6N8NPI0IkKa+DcwFvpS83wr4IPDyHsq2ZvK6LrBZh9NuTdS2L/J2Ytk2m+efkte9gMcCy4F7qP/NgzKX6WXNB/5/TzSE2uly6sWGTYbNp/2y3AX8X9I/N+lG2ZoM9n+YdOmNnvVxubdrTvLayXY6TNJj4KbAiioLMmLSfevGuNw6MS953YDR3F76aWNgc2I/PIs4T7qOOK6n++YFTNZySytAjNr+NT3nHqUyt+KxYril1xFrMxzr3ZqZ/lHc33v9MX7WT167iYVMsoXJ6xq43DRZ0muWovghNImjl5F7fJh9Cfh3Ikf1wblhXyYa5kx9llqu9kaeC3wz834h0wPol1FLFfNxIsd71gVE0B/gfcB/NfiuPwKPSPqniIZCf9+ifI0sYTwbXpWkYbAYWFRxGSRpHC3G/as0qm4gKmtJGl1TjH/cUFILGxG1paeAZxUM3zcZlnbLaJ3v/Lm5aYqC1pdlhn8sN2zD3PTPaPJdL8+NW9RIarvOTubxJmLn2G43E7g9V44pIq/3Zg2mWRN4K5E+Jj9do+5eIg3N2h2Wr93u18n3fCX3+WOB1ZlynNan72/VndVk2by/ojJV3U0BFw1BOSape02y3F88BGUZle77yTJ71xCUpZvu3KT8c4egLGV12yS/6YY+fsfpyXc8dAh+7yh1JyXL7TFDUJaqu9cQFTTaPUeaIs5Bqy73ILv03OgdQ1CWTrqLqAUjxqUbx2PFOHWPTP6fk4egLDOIp0/S/dduQ1CeTjqvP8azO5LuYiGT3j0pWW5LhqAsdnaD7D5IrPunNxh+KQ3O28c5RczLiAP8/cRjtvkGSO9NhqWPes8lgton9rFM+TLc32Tc71KfK37XEr4//ePb9TCK05d8CPhHweebE41tPqrDcs0n0s08HzgU+HOH07eS5mCfSe33LwA+T2wgAD+hdlNj0PJPQeRVUaZhMcm/fdCmMq8u986N8jIbxf98LpFW44bc52nbMtn9fb+M4nIbBpO83NYnbuYXVfxoZH7yOsnLbRR/9yiWuZVJXgeH2VSD/qrkyzAMZerUKJZZjXmN051h27dIVeho3R/XRk5nAa9I+ucSdxguK+jyOapfTX3euLLtlHu/usm4t1MfgM9POwh7F3y2lKiFlrcxUVO+0+B61nbA74jabWVambymOSTXAX6QfB/AR4GnU11eyaKbFZKkxr5KpI7Ys+JySO3agDhP6iS4ntXP81NJkiRJPRjXGuzPArYkAquXthh3d2oXLZsDzyMu3Pth7dz7Vo1F3Axsm/Q/0GzEPtm94LPTmd5A6QyicdYdSvjO+URDnY8ErixhflBbdguATYAfEo2uLiUacP1GSd/TraubDOtlGz0EOAA4vod5SNIw2jj3Kg2ztYFfAHv0MI95rUeRJEmSVIVxDbC/Nnn9LnBEi3HThlBTx9K/APtVufeLWoyfreF+eblFaUtRozSnFXz2CprXOl9G1B6fRQS101zrjcwn/rt9gPvaKWgLaQ32nYHzieV+CZGSJv+fVOGSJsPm9DDfNzC+27gkSaPif+gtuD4FnFFSWSRJkiSVbByDb3sTjVcCfLaN8f+X+gD73sCjgd+WXC6ItDRZzwHe12T8bA33/LSDsEnu/S1ECpesWUSjpnn/BD5B1A7/C/Bz4AnEBeIriBrqLyKeGMjX7IdIifNhaql+epHWYE9/zyeB44hGcIfBH4nltW7BsKIc+O1YADyeaBxsGM0AtiAaJFyPuKkyl7gB89cKyyVJ6t6WxH59IXFj/U6iXZXbqixUxXYg2njpxWXAHSWUReVwPdeguc6Vw+sPSVLfjGOA/Y3J63VErstWLiRqNe+X+ez1lBNgz+d4/xsRpN40eb8X0ZBo0QF9G+obtvpVCeXpVP5x5B8wPW/8IcBDcp+dTbTWnT3pu4AIsO9J1Er/ZdKdQDTm+uSC738J0aDqtZ0XvU42l/2HiRbEh8mDxJMBry0YtnmX83wFcRL5lS6n74d5wLOBfyOeeFinxfizWwyXJFVvfeB1wAuptW2SNUWkZpvUAPFzS5jH50uYh3rT7nq+1iALpbHW7jr3uUEWagR5/SFJGohxa+R0B+DwpP9U2m/xNZ8S5jkU5xOfmXtftPyWZvoXZfrXT7p8cPc/G5QpW3P7NOAPDcbrp3wal3MLxnli7v15wFOYXqPi98nrDtQH7m8Angp8rGDes4D/aqukzX0buItYjm8pYX798AHg3oLPu2ncdiFxk+hU4KZeClWStYG3E425foX4v7Mntw8AXyO23WdTW1eKUhRJUif2BHaruhBj7BjgeuJmeVEACOJc4unEE2uTqNeGeBdjgL1qnaznZbRHJHWyzn1hQGUaNV5/SJLUpRnEXfyppOukxtCOmenS7jsF470tN86uBeN8PzP8ASLQeQhRez3Nn/mL3HxempvHvkTKkCniEcBu0z/jrlUAACAASURBVISkzk7mdVyH051LfTmLTvB+khm+kqiRX2SLzHiPbjDOyUz/H+5mPJ+0KPIypv/+KToPsn+JWG82KrV03TkA+DvFv2sVcRMg/wTE/Mw4veSgV2eOIZb5URWXY5Sk+/t3VV2QLqX7+FHcztKy559+2i75fBnRUPYU8ZRQr8fRrNOT+S4qcZ6jZn3inKZo396qO6CC8lbpPLpbTul51aQtr9RZxDKoMtVdL+v5OBnlY8Wo6WWdO7mC8haZTa1MVd3g9vpDWUfQXSxk0h1ELLclVRdEGrAPEuv+6Q2GX0qDY/G41GA/iDgZeWrms7cDryJy1jWyfjLNGwqGHQqcSdTG3pEIgr8+N85HiLQn2Qv3n2T61yQatvoxcaBOa6sfCfwoM94ngS8DRxOBmp8Td9ivSOZf1WPVd2X6p4iaFHn5394of91NwM1Jf6PaXMcSK2vWesCjmhdzbJxCrAt5R3cwjzcRbQq8Eri9jEL14HHEuly0Df6BaMT2xcQJcFa2Ydv5SFJrC4j93teT93Op1SSdSXEbF+rOBsSN+2d1Of2kPX5/f+tRCj1InC8WPT2o/ut1PTdVjDrV6zqXf9J6Unn9IUlSDy6i8d38lzWZbrcm06Xdb4E/tRgnm95kHpEvfYq4qJoigsYPz333DCKgvLhgfrcBn6K48c9udFuD/TOZMt3TYJzzM+O8rcX8vpeMd2qTcQ5m+vJolEZnXL2DqLWW/v7lRIOlzcwAjk/G/0g/C9emDYj2BvL/5VLiRlWziwBrkFTDGuydswZ7ddKyn0g0pr2c5sfpbUr87kmuwb42cDHd18ieAp428FJX60Q6X0Z3A8+sorBDpMoa7GWs55tOm+voGuVjxagoY50bllRSVdZg9/pDRazB3h1rsGtSdV2DfSClm0CzgL2Jk4r842dFFhK5zJ8BbNWH8nQbYH8TtRUlf5c/9e3MOK9pMb93JuO1yif/R+pX0o+2Wd5xsjdwCbVlsIK4SM/XxphNPGWRPoL+3wMsYzMfZfrO5hxg2xbTzSGe7vBgPngG2DtngL0a+xFPVHUSeDDAXo6iVG6ddKsZvfWtV1tRS/vXTvdbJnPdyqsywF7Gej5O6Q1H9VgxSspY5xql6Ry0KgPsXn+oiAH27hhg16TqOsA+Tid/w+RBolZ9u5YQedn7Zb3kdVeiAdd2ZR+PW7/BtMsy/Y8Hbmwyv/TEfDfgMOJksMg1wCMy7/dq8N3j7l1EOp2nE//dW5PuduKJgrWIPOtzgOuIi9C/UP2yWptI1ZB6kGhI+AfA7klXZEPiaYX0JPg3VP9bxskMYhlvQWzbc4l1aDnRRsT2yXh70fiJFdXbLHndnuFdVzci/vP1iIDPPcC1RAqwDZJxnkk8NTPsHk8s53ZuXGctI9o22aODaZott/RG5yFMb9B7nG0FvLzHefyduCk8aU4EXkfzWs3XAd8iGtp7BPXnQZMoXVaD3r8+lHLW82eUUJZBaXV+MGrHilGzkHLWuV2SrmrZ+MLjaNxIa9m8/phcrfZhmyTjdRoLmXTpNrMmw7/cNibOzzcj0kbOIdaBlURFxaXArUTK4r/hsUzNpXGRLSle9xumHp3Rl+Jo2NxIHHBuIFpSb9csItiWricXEg3DZM2hlv7mPiLA28ha1C4YL6FxXtL1ibz3qTuBq9sr8thag0g/tDbxv8wiblA8QNSM6zbHaz9sTK226AoiL//SFtMsTKbJnpRfSv0NHHVuDWLZbki069Ds0dgHiFpH11J9/v5RsQNxEtdsf1aFWURwakMa1zi8i/i/5xEBvUY3PIfJvnR23nIvcfy4k/ZOpNtdbjOI49SfiH3cpNia2k2lbnV6HjJOZhD7i3Wp5aFfSew77iYCAarZkdjOLmawy2Yb4jymF6OwnndyfrA6GX9UjhWjZgNqF/PdGqZ1bgZxvAb4JRHsHASvPyZLJ/uwFUQcYpi2k1GwHrATca7SKgNBFeYS230aUIco6zJi/ZhD3BzIW02cd6XXCFLeVsDmNI5D7k556bw1grpNEQNRsz595OHANsZ5TIv5LUnGO6LJOHtS/6jFpzoor6qX5tq/mKgF2swC4ItMf7zmrH4WcAKsTTT03CgtwQqiVs9hRGNaF2SGHTX44o6sYUwRcwwRBG7nkfIHGK3H/tv5TekxptnTVEU6WW5p+yqLevkxIyhNE9Ftdz1xESy1o6oUMVcw3ut5L+cHo3KsGDX/yXitc1WliPH6YzL0sg8zRUxnhjVFzG7E9r6a+v/+Q9TfaJkBPJpo9LjR/vOvwPMHVXCNDHOwq6leAuxpzrIp4KQG4zyKqNme7qTWazBetizvazLOrtSvpMd2VmRV7Cbi5GZRi/EOJWoR5HdKSxmePJKj6ADiUeGiHf4qopHhfIqN+dSCi70+pjxJhinAvj5wBt1dnI9K0KRR+e8iGnd7IrHvmKL9AHsvy21R7z9ppCym+wDQSmLfJLWrqgD7MsZ3Pe/2/GBFMs4GqB/ez3itc1UF2L3+GH/d7sPuTMZ5+8BKOh6GLcA+A3g3kf4p//9fQvOnXI8rmCbbfZPmMSxNFgPsaqqXAPuaxONUU8TBaV6D8d5JbaW6gMaP134yGee7Tb7zidSvpI/uuNSq0kqapwp6KPBDindIq2n+dIOaexzxKH3Rsr2ISPnUSNqo7hv7XMZxMiwB9g2Y3jh0J92onFDma6pMAW8hHvtNbZd83k6AvdfltkOvP2jEXE73AaDDKyivRltVAfbbGc/1vJfzgzQ4VWZj0ap5N+O1zlUVYPf6Y7z1sg+7MBnvvX0u47gZtgD7qTTeH764jenf0mT6KaKR+fkNp9YkMcCupnoJsEOkjEhXmOObjPfJzHg3Ak8tGOeYZPgVTebz1sx87qB5TjUNn38QNcC2yH2+EPgwjU+O7iIe51N3NgBuYfpyXQq8nubb0XyiEccprMHeiWEIsK9NPA7dbZB4isgzNwo+QZz8vonaic2Tc+O0G2AvY7k9fNpcx9un6XwZ3U00jCh1qqoA+9cYv/W81/MDa7D31wsZr3WuqgC71x/jq9d9WPqUrjXYOzNMAfYX0HyfuHeb82mWLmYK+HippdaoMsCupnoNsK8B/C6Zx/1EYxeNHEfUIJgiHtXaNDc8rZ3+APUNymRlgx4f6LLMqk4ahLmSyGn2jOSzeyneCa0APoYXbr36KNOX7TnAti2mmwP8iPa2b9UbhgD7yfQWJF5N433xMEvzgXcbYC9juRU1nDTOtqFxztOi7rdMXhodlaeqAPv2jN96Xsb5wb101si02rch47XOVRVg9/pjfJV1jbNv89GVM0wB9mwu/aJu8zbnk/6mRt0KRid1pvrHALua6jXADrAjtbyUV9I8pcDuxN3B7zD9jvIW1Fa+HQumfVpm+L3AZj2UWdVYD/glzQ9e9xMnRq/EE9syzCNqcWRPDo6j9cXwQ4jHKtPpPtLHMo6jqgPsD6e3IPEU8OeBl7ocvQTYJ3m59Wp/4BqaL5s/AM/BYJx6U1WAHcZrPV8Xzw9GwTitc1UF2L3+GE9r4z6sKsMUYL+f5tv29m3OZxb161NRNypP9qp/ug6wj2KtNVXjSuClRKvcOwA/Bg4halzkXUrskIvcROzU5hE7wiszw9YlUgCk3kE87qfRcg/wBKKWwH7AAuKgeA/xiN5lRIqgVVUVcAw9njgBhWgz4VAit3QzhwGnEI/Opk4ru2Dqq1eWMI/PlzCPUeNy6955xM3xpwMHEhewq4Fbif36j4ggkTTKxmk9PxzPD0bBOK1zVfH6Yzztj/swxTbcrOLlHsDVbcznQWAxsHOTcVa2XyxJk6iMGuyp46ndobmKqK3eqb8k078u89lMosZ7Ou/vM/w1NKRhcSKx3VwMbNRi3AXAF5l+x/WsfhZwTFVdg/0KequFfT2wzsBLXY5earBP8nKTRkWVNdjHyffw/ECDVVUNdo2ntGFK92GDN0w12L9O83PzRjWNi1zSZD53M3kpIDWdKWLUVJkBdohgUvZRu9fQ2Y4ovWhKG5FYD/huZp6/pnanWlJr3yMemVzUYrxDiadC8geCpcDD+li+cVV1gD1N29VNtxI4YPBFLk2rAPttRIO9PyO2j+wxapKXmzQqDLCX4yY8P9BgGWBXmT6P+7CqDFOA/WE0bqh4iqiZ/og255U2elvUvaXUUmtUGWBXU2UH2AGOoj4X1mIihcy8Nqb9RDLNL4BXAH/PzOd7bc5DUs05/5+9+463pK4P///a3mELnQUWWJpSBUEFg2XVRAUUxN4Sjcb8SNSIxgSs0Z8NS6yIGuwBBYMBoiKiKFKMICB9qUovu0vZXZbdu/f7x3sm5+y5p82cc2ZOeT0fj/OYc8+Z8r5z5055z2feH+LJkEZ2Bs6l/kFgI/DKHsc3rMpOsD9A/iTxy0qIt5vqJdgnE9tyvd9556rxRnm9SYPCBHt3rMfzAxXLBLu66Qzch5WlnxLsEH31raPxefpyWj/lsFeT6b9NXEtIJtjVVC8S7BC1q2p7dF5HtBh8L/Ba4HnAocBzgZcAf08k1ms3xEeBd2BZGCmPHxOtcrev+XwhcBKN7/ivJOoUKp+yE+zfJ3uSeBVwZBnBdll1gv2pwGeBu2n8e+9SNe0orzdpUJhg74578PxAxTLBrm46FfdhZem3BDvAwTQv9Xg9kURv5NQ606wG3oPJdVWYYFdTvUqwQyTEX070bJ+nReA9wMeZeNCU1L53Ef9PNwCvAI4AvkLcuKr3f7cO+HdgURnBDpGyE+y7ER1Nt7u//S2tH7EdFGmCfQXt/e7VCfZRXm/SoDDB3h1fwfMDFcsEu7rp73AfVpZ+TLADzCSufe+i8TbwNeAvqFRG2Ar4VM14a4GT8RxfE+VOsNtaeDTcAOxBlJH4XQ+XszVR/3YH4qBWW+rlCeJg+ASVXqBPIh7fkpTfNKKVxo5NxtlA3NC6IXmtLSCuYXc0sc87H7iipBi2A14MzG8yzn3AxcSjk4NsOlGDcS9gJ7K1NEkvxlKjtN6kQXQMsCvxVOQfSo5lkM0AXornByrOFCL5BfAlonWolJfXOOXZibip8TiVvvP6yRTiPGE3IkneqMzwBmBq8n49cCdwM3Aj8XSEVOtZxNMSNwD/Xef7v6ZBOSIT7KPhRiIp8RuipXlRJhMJEYikeppIXwi8Pnn/FeIuo6TObUPcvJpBnEw8QZwUPUSlpa+6Z2/iZuLVxKOoZZlM1KDcAZhH/J3XEH/z24nyJsPgDcCCjNM8AlxF/WPfqKw3aRD1y/51WHh+oKJMIlqOAlxYZiAaKu7DircA2JdY15eUHEs7ZlNp5DmduDkzRsS/lthO0idYpWZ2Ia4P7yfKDtU6CPuNHGm9LBGTxzZUHqPYqeRYJEmDIUv5sYeJPkBsSCBJkiRJ6ikL+asM1Y/izCstCknSsBgDfgq8O/n5UaK0hK1UJEmSJEk9ZYJdZaguCTOrtCgkSYPuRuC9RG3OvwLOKjccSZIkSdKoMcGuPJ5PJDHuJ5LlNwLvI3p0bkd1p6bTuhuaJGlIPZAM7yRqbgK8A/gEcHcpEUmSJEmSRp4JdmUxFfgm8DPgKKLn3OlEB6ofBs4H5rYxn+lV7zd0N0RJ0pB6GnA40XfHDSXHIkmSJEkSYIJd2XwReEOT7w8FvtzGfKrLwqztKCJJ0qi4Ffg1mz4FJUmSJElSqUywq137Am9pY7zXAru1GKe6Y9M1DceSJEmSJEmSpD5mgl3tOhKY1MZ4k4Dnthhnh6r39+eOSJIkSZIkSZJKZIJd7douw7hbtfh+12S4Eng0XziSJEmSJEmSVC4T7GrXqgzj3tfi++ckw+tzxiJJUj0rgfW0Pg5JkiRJktQVU8sOQAPj7jbH2wD8tMn304EXJO/P7SgiSZI29RCwBFhdchySJEmSpBFhgl3t+nWb430KuKPJ968Htkzen9VRRJKkUTVWM6zW7g1hSZIkSZKktlwAjAPHdzif25L51HttBD5H87JDc6vmYXJdkpTXscDXgM3LDkSSJEmSJA2/biXY/5ZKQn0t8BXg28BHgP3bmP6rybQbgP06jEWSJEmSJEmSpJ7rVoJ9CnA5lST7WbTfUe4/V033Lx3GIUmSJEmSJElSIbqVYAfYEbiPSrL8l8B2TcafC3ypavwfA5O6EIckSZIkSZIkST3XzQQ7wL5ER6Zp0nw18E3gGOAgovzLi4DPAvdWjXcmML1LMUiSJEmSJEmS1HPdTrADbA38iMadnla/VhNlYaZ0cfmSJEmSJEmSJPVcLxLsqacBXwfuZmJi/Xrgw0RZGUmSJEmSJEkaKlPLDkAD79LkBbA50bJ9PZFwX1dWUJIkSZIkSZLUaybY1U0PJy9JkiRJkiRJGnqTyw5AkiRJkiRJkqRBZIJdkiRJkiRJkqQcTLBLkiRJkiRJkpSDCXZJkiRJkiRJknIwwS5JkiRJkiRJUg4m2CVJkiRJkiRJysEEuyRJkiRJkiRJOZhglyRJkiRJkiQpBxPskiRJkiRJkiTlYIJdkiRJkiRJkqQcTLBLkiRJkiRJkpSDCXZJkiRJkiRJknIwwS5JkiRJkiRJUg5Tyw5AkiRJkiRJkjLaFzgSeAawB7AImAE8BtwJXAOcD/w3sLKkGCUNiQuAceD4sgORJEmSJEmScpoEvAS4hMh1tfNaA5wCLCk+XEnDwgS7JEmSJEmSBtneZEus176eAD5KtHKXpExMsEuSJEmSJGlQvRZYS/7kevXrcmCHYsPXMLOTU0mSJEmSJEn96s3At4GZXZrfU4DfADt2aX4acXZyKkmSJEmSJKkfPR84mai9Xs84cEvyeogoAzMHWEx0fLqwwXQ7AecATwdWdzFeSUPKEjGSJEmSJEkaJEuBFUws8TIGnA28ksYJdIik/JOBE4Cb68xnHDiDxsl7Sfo/JtglSZIkSZI0KKYDVzIxIX4msHuO+U0mEvK31ZnnO7oQr6QhZ4JdkiRJkiRJg+Lf2DQJ/gBwZBfmOxv4Ss2815AvaS9phJhglyRJkiRJ0iDYF1hPJQF+LbCky8t4Q80yftvl+UsaMibYJUmSJEmSNAjOo5L4vhXYtkfLeR2wsWpZx/ZoOZKGgAl2SZIkSZIk9btlVBLe9wC79nh576ha3nJgao+XJ2lAmWCXJEmSJElSv6tuvb6soGX+AFuxS2rBBLskSZIkSZL62a5USrZ8PeO0c4CXAm8GDs447VbAg8lyz884raQRYYJdkiRJkiRJ/exDRP5qBbB5hukOIcrJjFe9fgTMyDCPNyXTbQR2zDCdpBFhgl2SJEmSJEn97Coif/XxDNPMYWJyPX2dlGE+04F7k+mOyzCdpBFhgl2SJEmSJEn9agmRu1oPLM4w3VHUT66PA/dljOEDyXQ/zzidRtzksgOQJEmSJEmSNNKOTIa/BO7MMN3CnN/V851keDgwN+O0GmEm2CVJkiRJkiSV6fnJ8FcZp7sq53f13Ar8CZgGPC3jtBphJtglSZIkSZIklempyfBXGae7AjijzucbgRNyxHFhMtw3x7QaUVPLDkCSJEmSJEnSSPsG0RD40hzTvgr4MfAsYB5wO/B9srdgB/gYsAH43xzTShpidnIqSZIkSZIkSV1miRhJkiRJkiRJknIwwS5JkiRJkiRJUg4m2CVJkiRJkiRJysEEuyRJkiRJkiRJOUwtOwBJktQzS4F9gG2AGcA9wMXAn8sMSpIkSZK6YDdgP+BJwGJgHjAXWAc8CqwAbgSuAy4H1pYTpqRhcAEwDhxfdiCSpJ6bD3wAWE7s+2tfG4GzgV3KClCSJEmSctoD+DSbXu/cC/wM+E3yvt510Grgv4CXY0UPSTmYYJek0XAcsJL6J5S1r3uBJaVEKUmSJEnZ7EMkyDey6XXNp4ApVeNNAg4FzqfxtdBNwCuKClzScDDBLknDbT5wFu0l1qtfZ5YRrCRJkiS1aRLwYWADE69nrkq+b+T4OtNUv34AbN6rwCUNFxPskjS8FgFXkD25Pk7UJpxRfMiSJEmS1JZTaXw989dtTP/eJtOPA78l6rZLUlMm2CVpOM0GriRfcj19bVt41JIkSZLU2mtofi1zUJvzaVYuZhz4fFejljSUTLBL0nA6mc6S62PA1MKjliRJkqTWLqP59cx2bc5nWYv5rANmdjNwjRYvqiVpNEwCdiU6htmCqDM3F3iEKC/ya6KzGA2O/YG3djiP64hahtrUUuJ/ZRuihM49wMXAn8sMSpJ6wPMDSVI/27fF93PanM+vgDXEE8D1TAe2Av7U5vwkjSBbsEujaQ7xSN25xIVyszv2VwM7lBOmcvoqnbVeHwfeUXjU/Ws+8AFgOfXX1UbgbGCXsgKUpC7x/ECSNCjupvlx6mUZ5nVti3lZOlNSUybYpdEyGziBxhfN64DvAccAR1F57O68MoJVbnfQWXL9NmBe4VH3p+OAlbS33u4FlpQSpSR1xvMDSdKg+U+an5uflmFeVzWZzypgWteiljSUTLBLo+MwooxFo3rbpzKxJdrcZJox7D19UCyis+T6emJbGXXzgbPIvv7OLCNYSepAp+cH7T6CL0lSN+0OPE7j8/INwAFtzqtZg5r3djVqSUPJBLs0Gg6n8cnH74EDm0ybJhl37HGM6o7FdJZcz/Io5bBaRNQXzrMO7QRJ0iDpxvnB9j2OUZKkRl5EnH83OjdfDmzZYh57NZn+28DkXgQuabiYYJeG3yKidEXtycJq4J3AlCbTziU6cdyILdgHRd4E+yrgyBLi7TezgSvp7CmAxYVHLUnZdev8wBbskqQyHQxcT+Nz8+uJJHojp9aZZjXwHkyuqwumlh2AJCmTIxp8/mZg65rPrgE+T1xYv7DBdNOBfwW2Ae4Cnl1nnDuITs5Uju2Bp9R8tkUyHKN5cqTaDcBJxMlko+0odQnwYLsB9qlFwDMafPf3wH4dzHscOIiJj6P+Abizg/lKUh7b0bgVerfOD55TZ5xhOFZIkvrDIcBWLcY5kThuvQRYWPPdnsQ16wXAL4FbiKe3NgeOBl5aNe4TyXhnAPcTLeQb+R/imktqalLZAagQFxBJs3cTyRWpbJOAXYF9iETh5kQrqUeIkg2/JlpLaaLxEpb5NeAtJSxX4VXA9wte5jLgFwUvs9sOB35V8DJfD3yn4GX2k6XEfn0bYAbR8vViooazNCz6cTt/JdEJXNGeS1xnqLf6cZsbRF5/SP3tp8ALyg6ijjnAmrKDUP+zBbukoswh7jS/GngmMK/JuH8k7iJ74TDR3XU+m0nlDv4YsIKos93MTKKDx+rH4R5oMN3DGWNUd61l4t99CtEi8XHi7z2DaG2YtmbfSHT4s458LS7W5Yq0vzxB/f+X+USJmE48TDxSWmtth/MdRPOBtwOvJZJAtcaBc5Nxbi0wLqmb+n07r3ecgNjXzU/e9+L84IlsYSqDft/mBoXXH9LgWEH9Y1k7JhP5zcnJaxKVMjDpdVHeVuhlNHCT1Keswa4yzQZOIFqHNOos8HvAMcBRwGXJ5+eVEeyAupBYZ1fSunOXBcC3mPh3OKeXAarr0hrsZ5QdyAC6k85qr99G8wv0UXIcsJL21tu9wJJSopQ6M6jb+TTgITw/GESDus31E68/JElS15lgV1kOI1qB1DuxHSM6GtmhZpq5yTRjRCsqtfYgsU73aDHe0cRjxfU6d9m9lwGq60yw5zOFzpLr64n92qibD5xF9vV3ZhnBSjkN+naeHifGaJ2A9fygPwz6NtcvvP6QJEk9YYJdZTicKF9R7+T29zTujAsqFxdbNBlHFauI9dXogmBn4jHien+LjUTtVg0WE+z5TKWz5PrLig+57ywiatXmWYfrMHGhwdDpdj6j+JAnSI8TjzQZx/OD/uG+tTu8/pAkST1jgl1FW0Q8slqvJdQ7qdSJrmcu0YpqI14stCt9BHyXms8XEh0bN7rQWEk8GqvBY4I9n7wJ9lXAkSXE229mE6Um8t6kGCe2XamfdWM736bwqCdKjxMbgO1rvvP8oL+4b+0Orz8kSVJPmWBX0T7LxJPbXwG7tphuJvCTZPwbehjfsLmNWGc3Aq8AjgC+AjxK45ZO/05ciGgwmWDPJ02wb6D9pMVvsb5t6mQ6SwCNEXWhpX7Wje18auFRT5QeJ9JzKs8P+pf71u7w+kOSJPWUCXYVaTOipUj1xdrxRE/ezexAPLqZTvfpHsY4bC6h9cXXWuIi42144TwMTLDnkybYrwFupvn/zOXAS2m97xoVe9NZAmgc+GPhUQ+GpcS29jbgHUQitLY+sIqxP8OznafHiQfw/KCfbc/wbHNl8vpjdE2ichz9W+Lv/kHgn4BnAZPLCkzSaOmH1hWShsuxxKOuAHcQHWdd0WKaY4BTiEeWU9/semTDaywZHgTsRlxkrAMeI2qv3kq0ct9YSnRS/3kM2A94JvF/szVxYf0QcDtwMdHZmSre0IV5fKML8xgW84G3A68lEgO1xona2G8n9uEqxtu6MI9+285/C5xI3CTz/KD/PKML8+i3ba4MXn+MljnAS4BXE+dy85qM+0fgRXheJ0nqAluwZzcXeCPwj8A+5YYyUPYHniC2tyuBLVuMvwD4FhNb4pzTwxiH0UXEerNm5OiwBXs+aQv2S8sOZADdSGctLG+j+QXwKDmOqHHdznq7F0sUFWUScD/Ds52nx4mzyg5ETZ3E8GxzZfH6Y3TMBk4gbhDW+39YB3yPuHlyFHBZ8vl5ZQQrSRo+JtizO4zKgfqHJccySF5JrLMNtE4IHE10JlR7YrQa2L13IQ4lE+yjxwR7PibY88tSt772tZ44ro66+USyM+v6O7OMYEfQEjpLdPbbdm6CfTBcyvBsc2Xx+mM0HEa0Qq/3vzAGnMrE8mpzk2nGkveS1DOWiJHq21D1fn1pUQyuB4kyC/XsDHwReGGd78aBNwE39SYsSVJO4zmn2wC8irgROMoWAT8HDsgx7YuJG6iPdzUi1erkusjtXHm5b+0erz+G1+HAd9FQ7wAAIABJREFUz4AZdb67HHhrMqz1WPL5YqIU0GO9ClCS7PBBqq86qf5EaVEMroVEp021n50EXE/9k9tVRP3E03obmiQphzw3mx8mHtMe9SctZgO/IF9yHWA6sEX3wlGXuZ2rEytyTOM2V5/XH8NpEXA6E5Pra4iOTA+hfnIdotX6IcRNlDz/a5LUNluwq1NbAHsRtezmE49frSEes1sB3ELUGR00Y1XvTbBnN41IJnyA2B5eSHTkVu/RvCeAk4EPEx0MSpL6z2ri4rbdxhkXA6+hcWvCUfIZolPdvDYC93UpFrW2gfavkdzO1anbM47vNteY1x/D6USiM/pqFxJPHdzSZLqZRKnXbYh+ZGy9LqmnJpUdgArxGNHT9hjdK3cyJXmlF9rVjzfWblfjxMXhWDIcBJOo3CXv5nobdlOIk9txWu9fqreJvI/HKkwn/hctH1CsacQ2fyuwXcHLTvdR7p+ym0nsd7x5mk11y7Fm+/d03z7WZJxRUn0+kVfacdsoSfevtzCxRWqvpH+rjcn7Qd/Oq38f93f9ayqV/kEGfZtLpX0C3UyU5ug1rz+GW20fUxvYtJxrPZOIbSLNVbQzjTY1mbjG9BiiUZMelxtdZ6e5l7oTavhdCRwKfBL4Wofz2gv4GLAvsBb4LvHI1q1V40wFngO8LlnuJCoJ+euAzwHndxhHr+1CJcZvAR8pMZZBcgTw78DHifW3M3Fz5wlie1kD3A3cy+DcbBkEPwQOJMoPjFoSpkynAMuAs4ntvkjbEK3Yfg78fcHLHmRTgOXA1URHZ2rf74j9y7OAfYA9iKfXAB4hOo27Fri/jOD62HHEI+yd+CjwH12IZZB8A3g28N/AFwpa5k7AL4H/Ad7J4G/n6XHiF0R9YvWnfwXeTNRTf4LB3uYgkpo3Ju+Po5i65l5/DK/DgG8n7+8C3gZc02KavwT+fza9uX0Ele1S7TkU+A7wKPlL3EmD6L3AW4CfAP9Y5/ufEMfqCUywj4b0juMK4LYO5vM8Ipk+l6hjdzRwQ4NxlwNfJU6sPk3c5QF4EpGUOp3YWPv1ZLH6jtSDdLbeRkn691wBXFBmICMmbbl+O7ZiL9KaZPgwxe8j0rvpq0tY9iBLz3vW4XrLaoxo/XVz8lJ7Du9w+tuJBhKPdh7KQEn3r6so7n91SjJczXBs5+lxYg3u7/rZw8nwLoajw9LpVe/vpphtz+uP4fWdZPhH4LnAA03GXUA05Ht9zefnAj/tfmhDb9dkuBGPIRot6XG50XV2wyc67ORU7TqCODjNJVpRHE7j5Hq1LxIt2Wu9AriCBnd++kD1I2SWX5AkSXns2cG0G4hzqFFLrkuSBLBDMnwLzZPrRxNPytcm19OOUCWp50ywqx17At8jHvlbRSTbmx3gav2AKCtTa3visdVt63y3OfBB4q7126i0KipKdYLdmmOSJCmPvDV+NxAlI4ahRaskSXmkTx7e2eD7nYlGgGcSZbGqjRMdoRZRpkiSTLCrpWnAj4B5yc//TL5HhD4M3FHn8+2J5H11hzQziAvKDxA9v38Z+HqOZXbCBLskSerUmtajTPAwcAxwRpdjkSRpkKTX5LXJ84XASUTZ2hfWmW4VcCxwWu9Ck6RNmWBXK28iOjaFqEX5jZzzeZzoxKeeZwOvqfp5GbB3zThvJA6kRbFEjCRJ6tRDGce/GNif6NxTkqRRtjIZnkaUmD0C+ArRcO9dbNqRKUTDuM8DS4lW7ZJUGDs5VTPTgROqfr4EeDdRvmU5cDbZSsX8kOh4ZMs6350IfDd5P7vB9LOJzmuKYAt2SZLUqSeodBC2a5PxrgA+ApxF/rIykiQNkz8D+xHHz0at0R8HLgNOJ0rTZr2xLUldYYJdzRwOLK76ubaz0seA9xB3kduxHvg+8PY63+0BPA24FPglcWBcVPX9xTSuvdYL1a3WTbBLkqS8xoHdiafzdgcWJJ89AtxHdMyWpcGCJEmjYCwZPh2YSTS4Ww+sJUqw3UMcRzeWEp0kVTHBrmb+ssX3c4n66FOAL7Y5z59TP8GeLu9S4EHgecDHgV2Sz45vc/7dMlb13gS7JEnqxEbg6uQlSZLadyfFNraTpMxMsKuZQ9sc75PAfwF3tTHu75t8d3DV+z8AL2hz+b1gDXZJkiRJkiRJTdnJqZqp7a27kVls2klpM/cRLdTraVabtGhjVGqg2oJdkiRJkiRJ0gQm2NXMVhnG3TfDuCsbfL4gwzyKkLZcr02wTyHK40iSJEmSJEkaYZaIGQ2zkuH2wAEZpsvSWciCDPNe1+DzmRnmUYQNwHRgR6Im/KuAZwM7AZOA+4neyr9FMR2rzAW2ADYD5hHrcRVwB/1TxmZJMsy6rakzc5LhfvjERZE2T4ZbU/z2vnUynF/CsgfZlGQ4B9dbVlOJY6LrLZtZxDmD6y2bzZJhkfvXHZJhlnPafpYeJzZnOH6fYZU2aNoNWF1mIF0yrer9HhSTb1iSDL3+GD7pufbewJZlBjKClibDKfh/pdGSHpcbnQ/OqvMZECf8Gn73EwekR8l24raQuJhuR5Z5L2LTk6/UGPBAm/MowlbEUx5rieR/o/+Xx4lEdy9MJf6Bp1N/nUGUslkHPMamtePLMJNI+GXd1tSZ9H/1PiqljdR7C4AZwE1UkkFFmULs13u5/xlW2xA3JR8qO5ABsxWxf+mn4/Qg2II4lt9bdiADJt2/3kglwdJrw7ZfTX+fdTR+elTlm0fc9F3BcDSSmETl5s4fKSYp6vXH8EqPBQ8QuQIVZzpxjdlvORqp19LjcqPzwfTcXiPqAuKi+PiM070ima7VawOVO5ztWN5gPldljK/X7qUS23rg08DLgM8yMfY3dnnZuwDfJ1rGp8v4MXAEkeSYQhzwDgROBG4gDn4fp9wbZ68k37amzlxErPeZZQcyYn5MrPcPlbDsxcmyzyhh2YNsKrHeLi07kAF0L3B72UEMoCsp/+b3IDqH+F99f4HLXJos87QCl9lL6XHirLIDUVMnEX+nw8oOpEumU7l22aegZXr9MbzOIv62i8sOZAQtI9b9irIDkQr2SZqfD15Ng9xoGVn3vwOe06V53Q68p0vz0kSnAy8Hjm4x3peBm9uc52Si5Eo9y9ucRxZzgHcTreZPJxKR7aouu/Jq4IfJ+zOIu1avrfr+vcA3c0e5qWcRJxNpi62NwOuIhHu1FcnrcuBjwDuBfyNajfx1l2KRJEmSJEmS1EAZCfbDgGO7NK8bMMHea68BPg+8mfoto79DJLDbtSuNy878MVtobdkJ+EDyfhuyJdjTxzSXU0mup05h0wT7HkTdv7tyxFjtiGRZM6o++xYTk+u1xogWMFcTrWpvJFqzS5IkSZIkSeqRMhLs1QXhVwD/CdxK1HV6HPhBzfhvJWpLLwK2BY4Bdq8zL/XG48BbgC8Qraj3JZK/y4HvARdmnN+hTb47v+r9fkSCeClwMfHIX57aX9W12rJ2BJqOf02d726o89mWdJZgX0qs0xk1n5/SxrTPBk4A9kp+/ijwE/qv7I4kSZIkSZI0NMpMsN8AHMTEjkjuIRLpqbOTz1L/CnybSPaaYC/OH+nO0wLPa/D5g8BlyftFRLJ9i+TnpUTL9zy1CasT7Fk7DkrHX1Pnu9okOMAdGedfbSpR42lezeerqKyXRl5ItFqv/X/+JPCCDmKSJEmSJEmS1MTkEpaZJsX/gfy9fL8dWIcJ9kEzHXhxg+9OpdIJ2HOoJNdTh5Kvc5NOEuzNWrzvV/PzRcDKjPOv9nKiw9JaVxIdJjQyjWjhXu9m2fOwQxhJkiRJkiSpZ8pKsD8E/LKDeawEfoUJ9kHzKmCzOp+PASdX/VyvxXizz5vppERMs4T8W2p+/mjGedd6V4PP720x3cFE7fd6JgHPzB2RJEmSJEmSpKbKKBHzEWBHNk185vEFOivJoWJNonFnqKcTdfhT5wPXAU+q+uzbRM3+rDZWve9WC/ZnEp2Rpr4F/DTjvKvtCjylwXcPtZh2UYvvt8kejiRJkiRJkqR2lNGC/Rzgy12Yz7lEB6i1DgI+BvycaP17C/DfwHHU/30nE7W9P0ckef8h+fwI4JvJZ38CzgIOaBHTLsD7gDOITkDvI1ra/zuNS6Ok5gJvAH6RvABeBPyI6Nzzx8AOLebRz14NPLnO5+uBD9V8to4oCfNh4LvE3+5vci63GzXYp1R9tgD4D+KGAcDPqL8dZlFbbqba2hbT3tzi+3tafC9JkiRJkiQppzJasPfKJKLMxseI32sDkTzfmkh8HwG8MhmmtbI/DxzLpq18F1LpRLXaDsDzifrgl9ZZ/puIJP1c4FHgaqKEzeHJ6x+BHwB/z6atkpcBbwReCsxOPrsceCfwmarxjiTqcX+g8SroW7OIJxfq+TxwU53PV9Gd37WTEjHp+NOT4TziZs3S5OfPEh2/bqAz+zT5rtWTHtcRN5PqdR57P3EjSpIkSZIkSVIPlNGCvVe+AHwKeBg4GphJJLtPqhrnUDZN9D4KPF4znw8SyfW7iNIlv6v6bhb1a21/Cvh6sryLgJ2JVvGLiQR+moB9OXAFsHnVtO8iapPPrvrswJq4U7Udfw6K9wFL6nx+E/D+Hi+7Gy3YFxA3an5J/F1XEzdr/onOk+vQ+ZMJLwN+WPPZQ8BLiG1ckiRJkiRJUg8MS4J9f+Btyfu/B/6LSKyuJVoYX1U17t8BuyXvTyDKllTX6QY4DdidSKI+nU3raz+HTZPhTyFam0O0un4Rm7ZQP4NNy5vsCHyy6ue/IhK4y2tiuIZI6r4cuAG4m6j1PWieQfwNaq0DXkO+jkuz6CTBnrZgfxLx1MKBxLZ0IHHzpVvqdfyaxSPEdvJk4M3AK4hW9pd0OF9JkiRJkiRJTQxLiZiTiJsF9xBlWKqNJ5+lda4nE2VZ0oT2GuDPwE7Jzz8kWpSnNgKnAH9Z9dlOwPXJ+69QqdH9JSLZWes7RBI+reH+t8A3qLSOfwT4A5XE/0ai5fv9STy1rZOzSlu+P53KjYgizAP+hU1rmKf+E3hq8uqlmVXvn0q23z/dJrZOhhcSNfGfk7y6pV5t+tQBZP+bLWLTbbhIByXDore1UZeWuXoL2UshKb8lyXBfit/e5yfDXUpY9iBLGxZsjestq1nANFxvWS0iyhi63rJJz8H2o7h1t2UyXFrgMnspPU7szHD8PsMqvUZ9Cc3LRg6K6vzCS4mnf3vN64/htXMyfB3RmFHF2TMZzsD/K42W/ZNho/PBRY0mHIYE+3zgucn7bYmW3rVqS6scSiTGU6ur3tfrFPKOmp8XVs334KrPL2sS51eBk5P3k4gEbXX5meoDxvXUr0ue17xkuDvFPbUwhVjP8+t8d03y+fMLiiO1lGy//5ZV728mavc/uxtBNVlOrZ0pZj11y+JkWOS2psr/2TJa1+1X92yVDLej+P/TKcQN4hklLHuQpR1Ub47rLasZxHmj6y2becR253rLJj13L3L/OicZblPgMntpVjLckuH4fYbVkmR4MLBriXF0S/X5/wENx+ourz+GV3qdfDhRnUDFSde9534aNUuSYaPzwbnFhdK5u4lW5+lr2xbjP7Vm/IvaeNXWUb+2avp/r7OMJ9Us49Dk87+o+XxZkzi3rBn3uzXff7Xqu983mU8eFyTzPb7L821kBvA/bPr7pq9/LiiG6ljSZb8147R/BawATqV+K/xuOYf662oc+HgPl9sLr6TYbU3hImK9z2w1orrqx8R6/1BJy5/UehTVmEr8zep1Vq7m7gVuLzuIAXQl3emvZdSk50a97qun2tJkmacVuMxeWkz8PmeVHYiaOon4OxXR0rsI06lcxxTVIt/rj+F1FvG3XdxqRHXdMmLdryg7EKlgn6T5+eDVNMjfDUML9t2q3v+S7pbuaGWvmp9ra7lXe4C465q2JqmddljMImrgv6Dm8zHi8YqvFRxP9d8kaw32n1B5WqGXVhawDEnDZ7zsACRJkiRJGnXD8AjV9lXv92w4Vm/Mrvm5VWv76vI1WZO9g2BLorV8bXJ9JdEavOjkOmxaLqNfa1PXK0skSZIkSZIkqc8NQ4L9war32wIL2phmTutR2nJjzc9LWoxf3Zr6ui7F0C/2AC4Bnlbz+f8SHc/8vPCIwkYqrTz79abG8ibfdfKUyQuAf+tgekmSJEmSJElNDEOC/Zaan9/ZYvy9gPuBN3Vh2dfW/PzSFuNXt3CvnXaQPZeoZ1vdMc8Y8AmiXv2tZQRVJW25Xptgn0J/dFBwVZPvOqmp/U/AMzqYXpIkSZIkSVIT/Zhgr22x26oTt9oE+/HAjg3GXQCcnrw/N2Nc9fyJ6PQrdSDRe3k9u1BJ5o4DF3Zh+f3gncDPgPlVn10DPB14L/1RliVNrK8nbnJ8DLg++flR4E4i1l52ZNrMFcAjDb7bIuc8FwDPAs7LOb0kSZIkSZKkFvoxwV5b4qVVyZe72DRZPYsoR3JozXj7AL9Ohl9k08R4qzIcs2p+TpP+48C7a7775wbz+Luq998ELq/5vvpvMb1FPP1gc+AM4DNUEtPrgQ8BTyFKw/SLNMl/NHATkUzfk8rfcXsi6f6d4kMDYAOxTdSzXc55/h3x+3035/QaLOcC/wOsKzsQqc+NAWfTnZvsktTP7gMuAn5adiCSJEnDrt8S7PszMdl9YBvTvbfm592JZPr/Aj8AfkuU4dgbuBL4aNW4U4Ctq35eUmf+O9f8XD3+d4mOPVN/A7y5ZvxDqCTYVwDvqbOM6kTqjvR3kv3ZxPo8puqzc4ibFx+kP1qtV0tbsP8NUXLlM8CxwOdqxnsV8MbiwtrEJ4jW9LX2yjGvhcSTBacSN6A0/D4GvIhKfwOS6hsHjsT+KSQNv/XAM4GTyw5EkiRp2PVDgn0ycBSRJP+vOt9/FvgIkRBd1GAelxIXy9XJpclE55rHEnWoJxGdkr6ASjmOJwGfIlpjp/4KeAOwE5GMXUYkjav9K1F3PK2P/SrgJ1Xff4loDf03RIvu84F5RFmSZ7Npx6wHJ7/f86s+25xI3B8ObNXgdy7DAuAU4BfE+oFItC8DjmBip6/9ojrh/2rgXUTr+3cysYV37c2aotxNlDeqtQXZk+yfI24cndhpUJIkSZIkSZL62xTgISI53ur14hbzOgK4vc50DwMnALNrxv9Dk2WdSbTIbhbPsqp5TQLe0WD59wNfrrN8Goxf/fp2i9+5HRck86qXwG3Xq4iyOmlcy4HX0x83aVq5hYj5pjrfPZOJ63z74kKb4It14vlUhunfnUzz8u6H1pZX0vm2Jg2KHxPb+4fKDkQqwL3EOYuyuZIoBadsziH2r+8vcJlLk2WeVuAypZOI7e6wsgPpkulUrmH2KWiZXn8Mr7OIv+3isgMZQcuIdb+i7ECkgn2S5ueDV9Mgf9uq9ngRxmjcMj2rs5PXlsABwAyiVfWt1L+4OaCNebbqZDU1TrQc/hxRouMAIqF+FdEZaiNL2px/WXYjWuQ/L/l5OVFi57vE324QpC3Yr6nz3Q11PtuS8kqrHEfckHkflXJJ/0DUC/5Vk+kmES3WP0yUwPlB70KUJEmSJEmSBK079xxUDwDnlbj8FUQZlUE2g2j1/57k/bVEnefTGJzEeiqtwb6mzncz6nx2Rw9jaceHiQ4rvwHsS8T4M+DTxJMQd1aNO50oV/R+4GnAx4F/KTJYSZIkSZIkaVS12zpbg+0WYBfgciJR3o59iU5n7wWuY9Ok7qB5MfFUwa3ARTXfLQaeU/Xz/cBPC4qrHYuJGuzbUPl/XQ2sBaYBc4gbZSuA3xN/rzItAf6CbNuaNKieDexAdKR9S8mxSL32cuIG+5llBzJgjgDmE33zqH3PIc6BfgPcVtAy5wEvJUoh/bqgZUoHEf2C/ZS4Dhl0k4HXJu+/TzElspbg9cewSs+1z6B+Yzn1zrZEFYN1wOklxyIV6UDgyTQ+HzyC6J9ygmFtwa5NPZ4M7yOS5e24g3gKYBhqbj2LSLA/zMTf/6Can8+hfq32slxH/B2mAdsRifa5RAe764nf6VbiqY1+cBewNXFBXHayX+q1dP9Rb98iDZuLiUSJ23o2zyPKCLresjk4GRa5f51M1GH/Q4HLlNYSjWguIRJZg25K1fs/AasKWKbXH8MrPddeThwPVJy0CsAYHhM1WpYkw0eov+0/v7hQ1I+60cnpIPs18ft/t+bzZwIbqXRK8M1iw5I04OzkVFIrdnKaTxmdnErqXBmdnGp42clpeezkVKMqdyenkwsJTypXeve1ukXFAuA/qJRd+Rnw1iKDkiRJkiRJkjTYTLBrFKxPhtOT4Tzgv4nHgAE+S9RpH4bHMiVJkiRJkiQVxBrsGgVpC/YFRH2+c4mOC1YDb8JOOyRJkiRJkiTlYIJdoyBtwf4k4FKi04KrgFcAN5YUkyRJkiRJkqQBZ4JdoyBtwb51MvwS0eHr4+WEI0mSRkTa8ZEkScpmvGYoSX3LBLtGwdqq9ycB7y4rEEmSNFI+AexYdhCSJA2gLwHLgbvLDkSSWjHBrlHwfeAw4KfAe0uORZIkjY7Tyg5AkqQBdX7ykqS+Z4Jdo+AXwB5lByFJkiRJkiRpuEwuOwBJkiRJkiRJkgaRCXZJkiRJkiRJknIwwS5JkiRJkiRJUg6Tyg5AhbgH2AZ4AFhZciySNCy2A+YC12GfJpLUTdsDc3D/Kg2aScBuyfvfAfNLjEVSfrOBxcAYcEvJsUhF2hJYADxK5FJr7QTMqDehJ6yj4c9Egv0M4PSSY5GkYbEzsBlwN3EDU5LUHen+9U7goZJjkdS+ScC+yfvrgSdKjEVSfnOBXYENwLUlxyIVaTsiyb4KuKPO93sAMwuNSH3lAmAcOL7sQCRJkiRJkiRpWFiDXZIkSZIkSZKkHEywS5IkSZIkSZKUgwl2SZIkSZIkSZJyMMEuSZIkSZIkSVIOJtglSZIkSZIkScrBBLskSZIkSZIkSTmYYJckSZIkSZIkKQcT7JIkSZIkSZIk5WCCXZIkSZIkSZKkHEywS5IkSZIkSZKUgwl2SZIkSZIkSZJyMMEuSZIkSZIkSVIOJtglSZIkSZIkScrBBLskSZIkSZIkSTmYYJckSZIkSZIkKQcT7JIkSZIkSZIk5WCCXZIkSZIkSZKkHEywS5IkSZIkSZKUgwl2SZIkSZIkSZJyMMEuSZIkSZIkSVIOJtglSZIkSZIkScrBBLskSZIkSZIkSTmYYJckSZIkSZIkKQcT7JIkSZIkSZIk5WCCXZIkSZIkSZKkHEywS5IkSZIkSZKUgwl2SZIkSZIkSZJyMMEuSZIkSZIkSVIOJtglSZIkSZIkScrBBLskSZIkSZIkSTmYYJckSZIkSZIkKQcT7JIkSZIkSZIk5WCCXZIkSZIkSZKkHEywS5IkSZIkSZKUgwl2SZIkSZIkSZJyMMEuSZIkSZIkSVIOJtglSZIkSZIkScrBBLskSZIkSZIkSTmYYJckSZIkSZIkKQcT7JIkSZIkSZIk5WCCXZIkSZIkSZKkHEywS5IkSZIkSZKUgwl2SZIkSZIkSZJyMMEuSZIkSZIkSVIOJtglSZIkSZIkScrBBLskSZIkSZIkSTmYYJckSZIkSZIkKQcT7JIkSZIkSZIk5WCCXZIkSZIkSZKkHEywS5IkSZIkSZKUgwl2SZIkSZIkSZJyMMEuSZIkSZIkSVIOU8sOQJIkSZIkSZIy2gbYE9gB2BKYReQ6nwAeBu4HbgFuANaWFKOkIXEBMA4cX3YgkiRJkiRJUk6TgJcAlxC5rnZea4BTgCXFhytpWJhglyRJkiRJ0iDbm2yJ9drXE8BHgRlFBy5p8JlglyRJkiRJ0qB6LVHmJW9yvfp1OVFWRuoKOzmVJEmSJEmS1K/eDHwbmNml+T0F+A2wY5fmpxFnJ6eSJEmSJEmS+tHzgZOJ2uv1jBMdmd4CPESUgZkDLAb2ABY2mG4n4Bzg6cDqLsYraUhZIkaSJEmSJEmDZCmwgoklXsaAs4FX0jiBDpGUfzJwAnBznfmMA2fQOHkvSf/HBLskSZIkSZIGxXTgSiYmxM8Eds8xv8lEQv62OvN8RxfilTTkTLBLkiRJkiRpUPwbmybBHwCO7MJ8ZwNfqZn3GvIl7SWNEBPskiRJkiRJGgT7AuupJMCvBZZ0eRlvqFnGb7s8f0lDxgS7JEmSJEmSBsF5VBLftwLb9mg5rwM2Vi3r2B4tR9IQMMEuSZIkSZKkfreMSsL7HmDXHi/vHVXLWw5M7fHyJA0oE+ySJEmSJEnqd9Wt15cVtMwfYCt2SS2YYJckSZIkSVI/25VKyZavZ5x2DvBS4M3AwRmn3Qp4MFnu+RmnlTQiTLBLkiRJkiSpn32IyF+tADbPMN0hRDmZ8arXj4AZGebxpmS6jcCOGaaTNCJMsEuSJEmSJKmfXUXkrz6eYZo5TEyup6+TMsxnOnBvMt1xGaaTNCJMsEuSJEmSJKlfLSFyV+uBxRmmO4r6yfVx4L6MMXwgme7nGafTiJtcdgCSJEmSJEmSRtqRyfCXwJ0ZpluY87t6vpMMDwfmZpxWI8wEuyRJkiRJkqQyPT8Z/irjdFfl/K6eW4E/AdOAp2WcViPMBLskSZIkSZKkMj01Gf4q43RXAGfU+XwjcEKOOC5MhvvmmFYjamrZAUiSpJ7ZCtgB2IxohbEKuBlYUWZQkiT1kMc+SRpMtwC3A5flmPY1yfSvBxYRLddPBM7LMa9TgBcQHZ5K0v+xk1NJGh3zic55llO/o5+NwNnALmUFKElSl3nskyRJUk+ZYJek0XAcsJL6yYXa173AklKilCSpezz2SZIkqedMsEvScJsPnEV7yYXq15llBCtJUhd47JMkSVJhTLBL0vBaRHTskzXBMA6sA2YUH7IkSR3x2CflMw+4DnhT2YFI0jCZXHYAkiQpt9nAL4ADck4/HVjYvXAkSeq5bhz7FnUvHGmg7ATsBTyz7EAkaZiYYJckaXB9Btivg+k3Ag90KRZJkorgsU+SJPWVqWUHIEkqxCQYP51+AAAgAElEQVRgW2BnYHNgDjALWAMsB64mHpvW4NgfeGuH87gO2NCFWIbNdsT/ykJgGrACuBYTMpKGz6Dt77p17FvfhVgkSZI0QqzBLo2mOcBrgHOBR2hej/RqYIdywlROXyVf7dnq1zsKj7p/zQc+QNxwqreuNgJnA7uUFaD6zhTgE8Cbyw5EymiQ93ce+6TO7E38H3yz5DgkSRo4Jtil0TIbOIHGSfV1wPeAY4CjgMuSz88rI1jldj2dJRhuIzq6EhwHrKS99XYvsKSUKNVvdia2iTvKDkTKYND3dx77pM6YYJckKScT7NnNBz4IfAE4rNxQpEwOA/5M/YvKMeBUJrZUn5tMM5a8V/+bRvy98iYY1uO+DWJffxbZ19+ZZQSr0swiOoWrtZTYHu4sNhwpl2HY303BY5/UKRPskiTlZII9u8OonIz/sORYpHYdDjxO/YvK3wMHNpk2vejesccxqjsW01mC4WXFh9x3FgFXkG8drgNmFh+ySvIj4u/+lJrPTbBrUAzL/m4LPPZJnTLBLkk9MLnsAKQ+Vd3pn50gaRAsAk4HZtR8vgb4J+AQ4PIG085Nvh8nOjfT8HqYKA10RtmBlGw28AvggJzTTycSPRoNW9UMpUHi/s5jnyRJ6rGpZQcg9anqpPoTpUUhte9EYOuazy4E3gTc0mS6mcRTGtsANwKP9SQ69coG2j+WX0x0ent7z6IZHJ8B9utg+o3AfV2KRZJ6aRj3dx77JElSXzHBPhq2TYZPBf6qy/PeknjMbCGwgKiLuJpI0j0ELGcwW8TuUvV+a7q/3kbdJKI11GKi9fQsouX148CfgJuI1tRqz0zgbVU/bwC+RZQ12D151bMl8D6izAHAdbitZ7GUqGn7J+D+gpedtia8jvg7bttk3JuB04BLgL2S1yjbBXhrh/P4M7CsC7EMmy2J/frmRK3kh4kbfCvLDKoLFiTDg4jjV2q7ZDgT953dlu5f7wAeKDmWWoO0nW/JcO3vNkuGNxH/l6Ny7BukbW4SlZKEV2NDpX6U9imyPR671NhmxDXkeuCqkmORirSYaHy4Ari1zvdPJvJXE0yq96GGzgNEMuY+4J4uzXNhMs/Zyc8bktcU4sZN9ba1HniUSLiv7tLye20msGfy/kGsr9oNk4kLgwVEUr1ZiarHiQsHy/O0ZzMqN4WeAG4D1raYZj7R2emUqs9uINa92rMzsU1fw6ZlpYowjTi4ryISUJsR/1fTk+/XE3VzH0mGqtiBKKnUibvov6RfWaYQyZ8FTCxRlXqEOI4OaqJlN2AOcZL9SNXnM4ik3Xrg2hLiGma7EPu1q4kW1GUb1O18IZ33rdJP+7upRMOeR4hznWE+9g3qNjeJyhMTFxF/H/WX9Dp3BdFIRKpnHrArcY1zTcmxSEXajigLuYr6T7/tSf/0TaMSdLOT0/2A3yXzWw18CtijZpxpwEuAnzOxg6E/AEd2IY5e24NKzJ8tOZZBNxs4gbgIaNR51veI2phHAZcln59XRrAD6hRinV1JXIw1s4Bo3V77dzinlwEOqR8T6+5DJSw77eTUerLZXU/+TvLGiaTOvMKj7k/HES0o21lv9wJLSomycxcRv8Nf1nxe28npU4B9CoxrmJ1DrNv3lx0Ig72df4Th2t+lnZwO+znLIG9z06nE5v6wP9nJqdqxDPvn0mj6JLHtn9bg+6tpfEzWCOhWgv15REv0caIswZ7NRwfiBHEdEze80+jvzsJ2pRLrJ0qOZZAdRjxaXG/nMwacSrQmrTY3mWYM7wy2635inS5tMd7RxFMstX+L1TQuI6PGTLAPnknEviVvsmk9sV8bdfOBs8i+/s4sI9guaJVgX0M8ATROtPRqVrZC7emHBPswbOe/Zrj2d8OeYB+Gbc4Ee/8zwa52mGDXqMqdYG9WokGqdgRwLpH8vBY4nLiYbOWLwOvqfP4K4Aomtn7vF9XlHixTks/hwPlEIrDW5cDBwF8TyfRqjyXfT8bHStuVPhrdqJTRzsT/75lEPbFq40RHqDf1JjSpr0yheXmqZjYAryKSraNsEXHj/qgc076Y4bhxuoDo9+I/k59nUTmfmUKU5dBg63Q7b1TSo2h5t0X3d8Vz3ypJ0gAzwa527EmU8JhG1CE6gmy1GH8AfKzO59sDv6B+S6/NgQ8C3yEuYqfUGaeXqhPs/VTXcFAsAk5n4gXmGuCfgEOIJHo9c5Pvx4lku1obS4bb1Xy+EDiJKInxwjrTrQKOpfHdWUnhYaKM1ag/MTCbOG4fkHP66VQ66B1Ef0Ec2+4Bvkx0eqrh043tfEHLsYqxKsc07u+KN+r7VkmSBt7UsgNQ35sG/IhK/cV/JuoxZvVh4NVUei1PbU8k759LpWbRDKLFzN7Jz6+l0tq5KCbYO3MisHXNZxcSLaVvaTLdTOCHRCvrG7HDzXY9QiTTf0I8Tr+GSKi/lvpPATwBnEz8Xz5UUIxSPxmj/Ru3FwOvoX4nN6PmM1Q6r8tjI9Hh+iB5GnGuAvAvZQaiwnRjO3+wS7F06g7g0Azju78rxyjuWyVJGiom2NXKm4C9kvc3A9/IOZ/HgX8lkum1nk2czH83+XkZleR66o3AuyiuBpglYvLbDHhL1c9PEJ2cfprmHT/sAPwXcGDy87k9iW44pR1c7U7j1uiPEx3Ink48VWJiXaPsBuKG3q5NxrmC6CAwrYc76vYG3trhPK5jcI6prycaFTwp43QPA3dlnGYX4MnEjekZxD79MhqX/VLv7E93tvMNLccqxtpk+Gcm9nlTzf1debZntPatUrdNIsphPpl4inpzYA7Rd9yVwG+Jm1CS1FMm2NXMdCIxmroEeDdx0FoOnE22UjE/BD4HbFnnuxOpJNhnN5h+NuUk2G3Bns3LqPwN7yA61ryixTTHAKewaa3Qb3Y9suGVloj5C+ApxKPpa4lEz0qi34Trq8aTRt1jRCLtxcBziMRT2gLweuJpkJtLi64/vaEL88h7k74MX6PSv0Ur48QF/OnJq52yHPOBtxNPGtXroHqcuNH8duDWNuNQ597WhXn043Z+BJGAcn/Xf57RhXn04zYn9dIc4CXEE/LPpPK0fT1/BF7ExH6/JEnK7ALiQu34jNM9j+Y91j9K9guRzzWZ39OScbYgHq2t/u63GZfTqdlVy+60VckoSTvBHSdaDNS7mVJtAfAtJm4L5/QwxmF0EbHe7OCqWD8m1vuHSlj24mTZ1sjNZiqx3i4tO5ABdDHNzwlavW6j+QVwv2nnd1qRDLO2ND+OuPnZzjLSJ5RGzTnE7//+gpd7I8O1nX+diKv2ydBBtQXDd574XoZrm5tOJbZ9So5F9e1N/H2+WXIcecwmGgA+Qv3/h3XEE/PHEB0GX5Z8fl4ZwQ64ZVTOdaRR8kli229UGeBqGhyT7eRUzfxli+/nEp18HZdhnj9vY3kPEsn984gWNd8lWkEXqbqlry3Y2/cC4nH6MaJVQbMnHI4mHml9fc3naUeokqT+cWDrURraALyOuDE/6FYB/0FceD6txbi15hMlOL6QvG/H1kSJNfXefKLUWl7DtJ2rOM/tYFq3OY2Sw4iboB9h4k2ljcQNg6VE6dkziYYwzyVugj+X+v1SSVLXWCJGzbTbKdInidrZ7dQc/X2T7w6uev8HIllbFmuw5zMtGT5I4w6ydga+SHTCWWucqPt/U9cjkyR1Im+jjA3Aq4gnbQbJOFHXtdq/AJ8lWshB/dIujSwiGhkckCOWFxNPKNnxd29t0cG0g7qdq3x5k35ucxolhwM/I/opqXU58cT55XW+eyz5fDFRivSxXgUoSbZgVzPbtDneLOJOcTvuI5Kv9TTrbK5oY1Q6ebIFe3YLiU6baj87iaj3WS+5vgo4lsaP4kiSypPnZvPDxGPag1jK6MtEWZz3EPVbIUqfrWs4RWOzgV+QL7kOUXKhk+SvemuQt3OVL0/5Bbc5jZJFRP8mtcn19KnnQ6ifXIe4gXUIljqRVABbsKuZrTKMu2+GcVdS/0JxQYZ5FGE9cVFbm2CfQtxU8A54Y9OIZMIHiJOfFxIdudVrpfMEcDLwYeChogKUJGWymri4bbdxxsXEzffbexVQj1WXvzuqw3l9Btivg+nTDilVjA20f4006Nu5ynd7xvHd5jRqTiTKpVW7kHjq+ZYm080Efkg0GrwRr90l9ZgJ9tGQtkR/Ptk6wZmSYdx9ab+jv9kNPp+XYR5FejnRO/khwB5Ubg48CvyOSsdvvTYL2IxYf7OIGwCriYvusSbTFenJyXAlsa4atUbfQJQUujZ5rQX+sefRDa8dk+H72LS8kXprj2R4CMXvuzZLhk8qYdmDLE0OL8b1ltUs4obpeprfEL8H+A1wA/DXBcRVhHQf+zrg6VWfL0yGm9F4e1pE552lP0gkGEZJWgv96RT3v5r+Pf9M1GMfhu38Kcnw/wPuLzOQLkmvIXZnePbh6ZMtj9L8Om1Qtrnq68e/ITqj7BcLiQZkc4k4HyP+3/spxiKkjej2p///j6YR+6/UGHABcAkT+/GqthnwCmDb5OeV9P/v2m92SYYzcd1ptKSlsvem/rZfe8Pv/5hgHw1pXey5ZGuV/iCwXZvjrs0w73q10yAOmFni67U0aX4A8P/au/NwOao6jePfm+VmJ4QEwyZgEhbBAIqiw6KACIqCjoCAjo4iCiMoAwLiiqhIZBEGgRkWF0QRhEcREEQBFQFBRdmzsQTBgBAIIZB9mT/eKrtu3arurl6quqvfz/P0U9219enq6uqqX53zOwdS2Y6hcajDlM2Am9tUhonAFigYlNY8fCU6ObyH4muAjw+Gs9CFwGT0fa9GzeqXoxOchVS27ziy3fixwcJ9c30652ZLLwiPZaPI/9g1JlKGTjpudrowwD4cb7eshqAbeFeh/72NqeyHS9Bx/UmUugDKtX3DY+x4Bn6u8D9vCOmft5nOYUOPVFl/WfUHw5Hk99nD73MN5dnPRwXD9arO1T1GBsN+On/b1yu8aXAr+nzdvs9FWzmNp/KdFWUEMB1dT41PmecJ4A56J9AeHg/yPL42amMq/8GLUR72BVQv9xSUsz0ac/h7jWVssLAz9j687ay3hP/LacdIx9F73K0omHl8xuUODpar9VhFto6+5qas576M5Wu3Z6iUbSVwFgq0n83gsn+0xe89BbgcXeSF7/ELYD/0Ix+KTo52RLXaZqHA6gwGd8qWp0NobF+z5tyOtnvRFzG95hdouxdRq2OT4L2dfzWbYWi73VV0QbrQM/RuSoLwGPvO2Phpwfinqix7HfWdS6U9Hqc3b0Jfjz7/V3J8z/D7LFNfMJegz/S6ogvSIpPQ57m+6IK00JnoM+1adEFapJ/K8Wt6wWU5mkqlnlqPZ4DNCyll/l6HPvMPCi5HPS5CZb0XVSSqZgJwKYO/2zIdL/K0F85db73pdKqfD95Pyn9JGSLvM6g0X6lmBepE8UUUjLyd3r1QrNeVKD3K+2vMdwGqXVWPIVSaWsfNrXMdWYwBTqDSOcrtGZaNduj2QVSbCRTQmoRyiodOonUnKbsD1zCwJtWHUcA96oXgcQ9wGnAs8HVUa7yTm46amZmVST9KA3MgSjlwMJX+W3ZrYr2r0P//4qZKZ2bWW9ZF12VZ+s+YjCpTHdCOAlnD9g6GRwDPVZnv/cD5VFLjhsKOUM3M2q4MAfalKHi6C+mpR9LcC3wV1UK0ZB8CzgUOJ7lm9GUogF2vqVSa/cY9kK1oddkMdbQJ+sPNEmAPL47nUgmuhy5iYIB9K9SE7R8NlDFqv+C9ovvypQwOrsetRjVg7kf782x088nMzMxabwjwxuD5+qiz7tBUYGbwPEt/NlGrgEPJdt5iZtbrJgK/oZLbPov3oNagy1paImtGmB4m7Rr7NcB5wL4J09aijlDntKFcZmaDDKk9S8c7BeXBnsrgvGk/Q02gdka1iU4G5kem74BqCrvThnTLgE8C2wNnoLxnvwMuRjWtP4LyatdrlyrTonnMtwduRMHtS6ndJCxNNB/1ytS5koXzP5gwbVbCuEbLGJoG/JjBN4ouqmPZPdD2+37w+lS0Dc3MzKx13oRSxT0F/CRlnuj59ZIG3mMRqkXpFFBmZvUbDdxCY8F1UCWwtD6vrBirgmG8Zvp6qHLZTJKD6y8CB1GulF9m1uHKUIM99A/g96gGcOjXwEPB8z8GwxnAN4HPRub7CrrT7VpC6R4ATmzBet6RMn4BcHfwfCIKFocnONPQDZRGchNGA+wrUudKFs6fdHGc1FriiYzrjxqGTgDieVZfpLJd0uyLaq3Hf8+nA/s0USYzMzOruBzleM3iebJ1DnYnaj04L+P7mJn1um/TXAWjNcA/W1QWa42FKL3sFcAX0XX5vqgl+diE+VegFmVfQ/+/Zma5KUMN9qh4Xq61CfOsQIHiX8fG/1dbSmRR/ajpXZLvU7lDvSeDaw/sgjr1y6qZAHu1Gu/xk7fb0QlAoz6AOiyNu5fk/Tg0HNVwT7pZ9g4a22ZmZma9bh3UgfmNwJuDcfUG16PpBVagoM2jNZb5K8ohuysOrpuZZbU1ytPdjIfJ3uLZ2uvJYDgVBdmvBY5kYHB9Gapo+SlgI+AYHFw3swKUqQY7VAK0taxBqTj2jozbqvXFsZhD0QVr3GoG5i5Na07dSDPrZlLEVAvIfzL2+tSM6477bMr4Z2ostxPK/Z6kD3WultaE3czMzJL9Gdgy4zJPoFyw8WD6WhT8eQ+qRPBqKjUlZ6Igfr2dxZuZ2WCHtGAd323BOqy1wmv5/YEp6Eb3UpRKbSHKVjCTgdf8ZmaFKFuAPYsnY6/jqTmstfpI7wz1SuCxyOubUQ2CbSLjfgi80MD7rok8b1UN9t0YmIroUuBXGdcdNRV4Q8q0WnffJ9aYHs9XZ2ZmZrVlCa6/BByIzl/SWp2tQv3+XNNkuczMbLC3Nbn8PBxg72R/A64ruhBmZtX0coB9auz1Q4lzwXTgKGA7YDOUe/s51AzpHJI7uwTV1D4RBWOnoDuss1HgeAPgSwxMaZN1/m7zQWDbhPErGdzJ7HKUEuZYtC3uYmAN9yxakYN9aGTcBOB76IYBqNPXZpsjVssVuLTGsrVqvD2dsSxmZmZW3WrUd88tqAP4xcFrMzMrxk5NLLsK+DA6lpuZmTWkVwPs44HPx8b9PmG+U1AHqKBmv3eiPJxbB48PATujDkCjNkWdqm6E/qhvRLnBDkU1nAD+h0rAPOv83WYU8I2UaecCcxLGvwic3IL3biZFTDh/fzAch/K+TQten41uitSbmijN9CrTajV3exhd1Cd1Hvss8MtGC2VmZmYDzEZ9xlwGzEfnA2cUWiIzM4NK5aesVqFr7ttbWBYzM+tBZevktJahKP/lbahmdGgm8L+xef+TSnD97yigfhCqxR427x0LfCHhfS5GwfLlqInxwcH63kYlGDuiifm7zZeBzRPGz6GyjdulFTXYJwCTgd+izsdeQXn+jqP54DooF2szDgSuio17HngfrolhZmbWiLBSw1NU0rX9N/AtFFw3M7POUavVb5JFwAHA1S0ui5mZ9aCyB9i/CPwleDyGaoVfh9K9gAKoF6GgaTz4Gk37cWewLCi3ZvRPeP/YcmNRB1YAdzOwk8o/AucHz0c2OH+32RnV8o5bjloANNJxaRbNBNjDGuzboDQ1OwL3BcMrmy/avyR1/JrFS8AHUAqew9ENmmlo/zEzM7Ps3oIqOmxGejpAMzPrDC+S3gdGkjuBHVDrZDMzs6aVPUXMpsEjzVLgcRTsjYumE4mn6bg78nw0quG8MHi9PpXtOh3YApgbmf+7wDFUAuZZ529EmG/+EySnEmmXfnSBOjRh2hzg1BzKEN3HPwbskWHZ8EbM5GD4JKrRdm4LyhWV1sEpKHD++gbW+fEGy9KssFPVvPe1Xhf2b3AdAzv2tfYKf5vvRse6PIX/CbuiviCsPmET8q3xdstqAjof6sXtFh5jT0X9w4RGB8NJpG+XKahCSy9ut2aEx9f9UL88eQi/z7dRnu8r3HcvBF4usiAtMjwY7kR5vqOwQ+WzUJC420Ur8M0gv3jDZBRgX0rlt5zkJVTx7mX0uyir0agi3wj0nSxH+9eyYDzoWq3Tf0c7BMMfU6nwaPmYGAzH0vn7iVkrhf/LaeeDr0lbsOwB9pNRbfMRKNC+NfBe4N+C6eOB04AjgY+g1DGhzwfTFjM4f/iU2OvJVALs89EF6FB0MXoHqg3/82D6AygtypMNzt+Ihejz/w3ld89DP6q5nnRj4MqcyxG2EPgTcHOGZUdRCRjfSGtrrUdtjC7OkzzM4PQvnezN6MZEnvua6SC/LtpHs/Y1YI1bP3jMQzc38rQe8Fb033B5zu/dzYaiC8oFeLtl9RZ0fOnF7RYeY3/LwH53JqObXEtI3y6vBcZUmW7JJqPj62PADTm+566o36WyfF+HofPMG1C6o243DlWWmU95vqNDUCrNm0nul6rbDAP2Cp7fxsDW2e20XfDen0Y3lrZC19ZrUVD9GXRd1a19mtVjNLA3inVMTpi+FrXGvhW1Mn+Mzv8dTQJehVL0vlBwWXrNtqjl/go6fz8xa6WD0f9y2vngNlRuVJbaheiPI3x8MmW+bdFJZnTe54ANq6x7TLC+v8SWW4s2cNS1CfPchP7ok2SdP6tbg3Ue36L11TICncjHP9Na4HM5lSFalvC9j6gxb9xewKPAeSTXwm+V60neVmtRzY9ucgj57msmt6Pt3q2ppLrVL9B2P6WA996EwSnLrLZhaLvdVXRButAz6GZSLwqPse+MjZ8WjK8WuLyX1vTX0mvCc6N299UTFX6fV+T4nu12CfpMryu6IC0yCX2e64suSAudiT7TrkUXpEX6qVzHTM/xfWdRjlYajToaVapLu6aMPhYEwx8UUdCMrkFl3aTogvSgvdC2940N6zWnU/188H5Sjq9lz8Ge5iHUpD+ak3sSycHfSSjI+RQK4E9GaVuqOQb4R2zc3qjW02noxKOZ+TvZKBR0elds/Gp0g+JbOZcnmi4jaw72m1F6naMZnCaolRbWnsXMzMzMzMzsX9ZFQejvBM/rMbH2LGZmllWvBthBzaPuiY2L1xz4ADAbBd6HAEehpgLfrLHux4N1xTuZHA6chFKVTG5i/k61Pqotv09s/EIUcL849xINDIx3auqMp4sugJmZmWW2EJ1b/LPogpiZWc+ZiK6939vg8u1soW1m1nN6OcAOarYbtUHk+REon/F6KH3MDsAF1F+TeR6wG3Acgzus2Z7BuXyyzt9ptkI3COId/f0ZeCPwm9xLJGuo9CiftQZ7XuZWmdZMPwn7AF9vYnkzMzNL9zyqeLFnjfnMzMxaaTRwC5UOoRsxu0VlMTMzHGCPN48Kg5kbAudExn8W1TKvxwTgp6gzjtXA2cAWwEWx+XZHNb6zzt+J3o7y2U6NjFuN0sHsgjpQKVJYcz0eYB9KZ3ROcF+Vac3k1D4OdWBjZmZmjVsdG0bNBxblWBYzM7Nvo0p4jVpD/qlbzcxKrZnasZ2oL+O88drWYY32fRkY2Ix3XjWqynpHAgcBvwQuDcYtQDXi/4wC533o5sbuqOOsLPNfVeNz5e1Y4AwGNjF7EDgMlb8TrEB57FeimyefAd6Hat33ofz356HP0c5c62n+inq3Xydh2qQG1zkB7S95dg5mZmZWRucBc1DKPjMzsyJtiGIFzXiYzk2fapbVFuiG0zaoQ9xxqCLlcmAx6qh1Ntrv7wGWFlNMK7uy1WCfEHud9vmGAN8DNo2N/04wjP/ZvCP2+t9jr1+V8B6HJoy7BAWfQ8uamL9o44Gr0d3zMLi+EjgFeAOdE1yHyvf5fnSBfBKwNZUbMhujzmQvy79oAKwivRf3jRpc55Ho8/2oweXNzMxMrgI+gWuqm5lZ8XZqwTq+24J1mBVpK+AslG53DjpX+xSwGQqyvwk4APgoatl/IfAHVJn156i/xbLFQ61gZdqh+oDtYuPexcBa7esCHwZuRj+0qCtRLXLQna6oo4HTga8Cf2NwXuujUHD+gMi4fRjc2edIFMwF1aq+rYn5i7QHSmsS/bzXA9PRNuq0u+FhapjD0Db9Nmo1cE5svkMZvF/k5Vvo7mrcaxtY13qoZcH3Ue18MzMzMzMz636bNbn8PBxgt+41HQXIZ6LA+bRg/JkodrYP6ttwQ2BX1FdB1GiUzeBKYBZwcPuLbL2iDCli3oJqIx8AbBmbtj/qgGoMCvqOSVh+JUrDcmJk3K3AQio14scBJ0SmXwgcgmpxAxwYDNcAd0bmuxb4IvArVBP5MBT8BOV1X4R+4FnmL9IEFAg+nMqNi/tQ2eIHrk4SDfh/kEqanatRCpb/iEw/ifTa5O00Hzge7VtRk1CQfWaGdZ2DWhV8qTVFMzMzMzMzsw6wbhPLrkIVDpMqdpl1sj6ULeELDExPDHA/iuetjYxbC9wB7IXiLGckrHML4AoUS3RLRWtaGQLs5wE7VpkeBsn7g+FzVJqRzAF+gu7iRj2HAuiXofQvS1He9fCHexPwLPDlyDKXoyD8KCrB+ZXoh3xGZB0LUED6h8FySzLOX5RDUQesk4PXj6Ca/D9CNxY6WViDfS6Dc9hfxMAA+1bozmcRNb8vQq0wjoqNP4yBN3iqOQGdNB2M9mMzMzMzMzMrh0Zbi69C1/S3t7AsZnn5HunZBs5hYHA97kwU+zwtZfpBVGq/v9xg+cxKEWB/Y5vW+2tgKrADCoC/ADwdmf4V1Cnpdqhz1MeD8SvQnbCFwetXA1NQoHwIqom8IrKeRRnnz9sWwPlU8tDPBU5FgfUiOgRtRHgS8mDCtFkJ49anuNQqR1O5eRP+Pj+N0hf9rspyfajG+tdQCpyftq+IZmZmZmZmVoBHGlhmEfAR1GLerNt8iOqpfB+oYx0zUG32t6dM3xn4JvCZTCUziyhDgL2dXqb6Hd5Hg0fc85HnTwSParLOn4cRKF3NicHzh9AdvyvonsB6KLxBsSRh2oiEcUVv/68BN/IU5jQAAAbsSURBVKDceNuhMt6EOvG4AHgqMm8/+pP4CkqXNAP4fJ6FNTMzMzMzs1zcilK8jKtz/jtRgHJeuwpk1ma1gt7z61zPDNID7ABHoPjXsjrXZzZAX+1ZrAQWABPRgaLe2vAjgseqYJlV7SlaLsagPF0rUeqdqGEMzIO/Gnglp3LVYxgKokdvhq1BTaD6Io/VqHPeor+n4Si1UZZ9zZoX7uMvFV2QHjMa/TYfRS1f8tSHLqySjmtW3Tp03rG+G4xD/z1uOpuNj8+NCY+vj6B0jXkYAoylXMfVUejc7GU6P6VjPcr43zcSneu/QvdVYkqzTjCcjToazMNYtH/0Sm7xoej3PaTKPJ1yfdiM8L+gLMewbhLGSdZQ/LnfOjWmZ9k/xlE9Dup9zcL/5bRzjbGkHHsdYO8Nd6AmL6ej3FX1mIAuCp+qNWMXuBLYHriOwbnMLwD2jLz+BPCHnMqVRT9KWbQZ+oMZi06YnkdNoopKaRP3blTTPsu+Zs27HHgD2s+XF1yWXhIeP84LHnl7N2pdNK+A9+5WQ9E2uw/1VWH1uwMdX/asNaMNcA1Kt7dt0QXpMv8H7A6ci461edgUpYi8ATgup/dst28ABwL7oTSPZfAu1I9WUivibvQ54GOohvE9BZelFYZTSdewP/qu8nAjsAHw+pzerxMMBaYDW6Nr97XoZu7T6Fzn2eKK1jLnoxrHuwPPFFuUnrMzup5fBLy54LL8geqVmY5BLf7rcT0wrcr03XBfdr3uBODjpJ8PXgtsmbSgU8T0hjDg9hyqSdBrXooMo59/N2CPyOtLgUvyKlQD6sktVrTwpLZX97WihHdW5+AmbXkKa3O8QDH7u39j2YXnPcvw9stqFarJ4e2WTXgO5u2WTdjC5Hny23Zh7eHFOb5nuy0KhvMoz2cqy+cIvRAM/045Plt/5Pk88vtMK1Ct0zJswyweLroAbRaeaz9KOSr+dZNXB8NO+F3dAhxSZfrO6IZ8PZLSBocWAXfTeEfCVg7h/3La+WBqhcZqTYrMyiJMVTI0Mm4CuiMbtuK4CeXcMjMzMzMzMzOz4p1M9VbaB1J/65VNq0ybgYPr1gQH2K0XhAfJsEbFONSsI2wadDbwHpxaw8zMzMzMzMysU8wBDiC9j7ehwE+p3SfWa4F1U6ZdhtLcmjXMAXbrBeGBeAIwGfgtsCtqfnwIyqvUzZ2/mJmZmZmZmZmV0S9Rit9ZKdOnAbehIHqaExPGLUF9YXwUd25qTXKA3XpBWIN9G+AuYEfUwd2OqANUMzMzMzMzMzPrTH9CqWCOB+YnTN8auBe4GHgrMCYY/yrgDBREDy0DLkSd0J+Og+vWAu7k1HpBWIN9cjA8Hx2U3RmklcVi1NHp6lozmvW4taimyuKiC2JmloPwWPdy1bnMzMy6wzLgLOA7KM3ve4F9qMR6+oHDgwfoGnlU8HwJquV+HXA18Gw+RbZe4QC79YKlkednAicUVRCzNjkS2AB3ymJWy2pgD3xCbWa94RvA9cC8gsthZmbWSiuAnwUPgHWADVGO9ZHACHRtvBzdZH4aWIAq25i1hQPs1gvOBl5CzYUuK7gsZu3wRPAws9r+VHQBzMxy8jxwS9GFMDMza7OXgodZYRxgt17wIHBs0YUwMzMzMzMzMzOzcnEnp2ZmZmZmZmZmZmZmDXCA3czMzMzMzMzMzMysAU4R0xtGBsPJwLZFFsRKb5Ng6H3NesG4YDgJ7+9WfsOA4Xhfz2ok0Ie3W1bh8XV98tt2mwbD8Tm+p9nEYPgaYGGRBWmR4ZHnU4A1Ob3vCFR50L/dcgn/C7ZEx2bLz+bBcCj+XVlvmRQM084HRyaMA3TCb+X3NAp4LgWWFVwWK7fh6EToFdRjt1mZjUX7/Fwqf8RmZTUeWIs7kMpqPLo4faHognSZ8Pg6BwXZ89AHTEDnyktyek+zUcFjEbC64LK0yoRgOBPYIKf3HI8C7GW4SWEVY4F+4EXyu1ljMgxd16/G537WW0ahIPoKFNeKWwed25uZtVUfMB0fcMzMymYj8guUlMm9wKqiC2F12woYXXQhrKf049qhrTALeLnoQljLXYNu7m9Sa0Yzs6I5RYyZtdJa4IGiC2FmZi03v+gCmOVgdtEFsJ6zAnio6EKYmZlZc9zJqZmZmZmZmZmZmZlZAxxgNzMzMzMzMzMzMzNrgAPsZmZmZmbtsYTkDpLMzMysuiUoBenSogtiZmZmZmZmZsXYFnhr0YUwMys5d3JaTpsD+xZdCDMzMzMzMzMzM7Myc4DdzMwK5RQxZmZmZmZmZmZmZmYNcIDdzMzMzMzMzMzMzKwBDrCbmZmZmZmZWbdaFTzMzMwKMazoApiZmZmZmZmZNegkYN2iC2FmZr3r/wHv86W8eaxOrwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 380,
       "width": 748
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bwv10 = corpus.parse('bwv10')\n",
    "bwv10.measures(0, 5).show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looks like it's in G minor with a first cadence on B-flat.  Perfect.  Let's look at the end also:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "22"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "soprano = bwv10.parts[0]\n",
    "len(soprano.getElementsByClass('Measure'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Okay, there are 22 measures, so let's grab just measures 21 and 22:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 376,
       "width": 748
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bwv10.measures(21, 22).show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looks like a nice Picardy third here.  Jean-Luc would be proud!  But let's see if `music21` can figure out that it's a major chord.  We could `chordify` the last measure, but let's instead get the last pitch from each part:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<music21.pitch.Pitch G4>,\n",
       " <music21.pitch.Pitch D4>,\n",
       " <music21.pitch.Pitch B3>,\n",
       " <music21.pitch.Pitch G2>]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lastPitches = []\n",
    "\n",
    "for part in bwv10.parts:\n",
    "    lastPitch = part.pitches[-1]\n",
    "    lastPitches.append(lastPitch)\n",
    "\n",
    "lastPitches"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This only works because Bach doesn't tend to end parts early and have rests at the end, but it wouldn't be too hard to compensate for something like that -- see the docs for :meth:`~music21.stream.Score.measure` method on `Score` objects.\n",
    "\n",
    "Okay, so let's make a chord out of those pitches, and lets make it a whole note"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 56,
       "width": 161
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "c = chord.Chord(lastPitches)\n",
    "c.duration.type = 'whole'\n",
    "c.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This could get ugly fast if the bass were any lower and the soprano were any higher, so let's put it in closed position:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 31,
       "width": 167
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "cClosed = c.closedPosition()\n",
    "cClosed.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Well, that looks like a G-major chord to me.  But can music21 tell what it is?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cClosed.isMajorTriad()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<music21.pitch.Pitch G2>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cClosed.root()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's say that we're only interested in chords that end on the same root pitched as the analyzed key, so we can test for that too:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'G'"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bwv10.analyze('key').tonic.name"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'G'"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cClosed.root().name"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So we've figured out that BWV 10's chorale does what we generally expect Bach to do.  But where are the exceptions?  Let's look through the whole repertory and look for them.\n",
    "\n",
    "Let's take some of the things that we've already done and make them into little functions.  First the function to get the last chord from a score:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "def getLastChord(score):\n",
    "    lastPitches = []\n",
    "\n",
    "    for part in score.parts:\n",
    "        lastPitch = part.pitches[-1]\n",
    "        lastPitches.append(lastPitch)\n",
    "    \n",
    "    c = chord.Chord(lastPitches)\n",
    "    c.duration.type = 'whole'\n",
    "    \n",
    "    cClosed = c.closedPosition()\n",
    "    return cClosed"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's check that we've coded that properly, by trying it on BWV 10:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<music21.chord.Chord G2 B2 D3>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "getLastChord(bwv10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Okay, now let's write a routine that takes in a score and sees if it is relevant.  It needs to be:\n",
    "\n",
    "1. in minor\n",
    "2. have a major last chord\n",
    "3. have the root of the last chord be the same as the tonic of the analyzed key.\n",
    "\n",
    "Let's try that, and return False if the piece is not relevant, but return the last chord if it is."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "def isRelevant(score):\n",
    "    analyzedKey = score.analyze('key')\n",
    "    if analyzedKey.mode != 'minor':\n",
    "        return False\n",
    "    lastChord = getLastChord(score)\n",
    "    if lastChord.isMinorTriad() is False:\n",
    "        return False\n",
    "    if lastChord.root().name != analyzedKey.tonic.name:\n",
    "        return False\n",
    "    else:\n",
    "        return lastChord"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that I've stored the result of the key analysis as a variable so that I don't need to run the same analysis twice.  Little things like this can speed up working with `music21` substantially.\n",
    "\n",
    "Now let's look through some pieces and see which are relevant.  We'll store each chord in a Stream to show later, and we will add a lyric to the chord with the name of the piece:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 197,
       "width": 750
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "relevantStream = stream.Stream()\n",
    "relevantStream.append(meter.TimeSignature('4/4'))\n",
    "\n",
    "for chorale in chorales:\n",
    "    score = chorale.parse()\n",
    "    falseOrChord = isRelevant(score)\n",
    "    if falseOrChord is not False:\n",
    "        theChord = falseOrChord # rename for clarity\n",
    "        theChord.lyric = score.metadata.title\n",
    "        relevantStream.append(theChord)\n",
    "\n",
    "relevantStream.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is fun information to know about, but it's only here that the real research begins.  What about these pieces makes them special?  Well, BWV 111 was a cantata that was missing its chorale, so this has been traditionally added, but it's not definitively by Bach (the same chorale melody in the St. Matthew Passion has a Picardy third).  In fact, when we show the Chorale iterator later, it is a piece automatically skipped for that reason. BWV 248 is the Christmas oratorio (in the `music21` corpus twice, with and without continuo).  It definitely is a minor triad in the original manuscript, possibly because it does not end a section and instead goes back to the chorus da capo.\n",
    "\n",
    "But what about the remaining seven examples?  They all have BWV numbers above 250, so they are part of the settings of chorales that were not connected to cantatas, sometimes called \"orphan chorales.\"  Their possible use (as composition exercises? as studies for a proposed second Schemelli chorale aria collection?) and even their authenticity has been called into question before.  But the data from the `music21` collection argues against one hypothesis, that they were parts of otherwise lost cantatas that would have been similar to the existing ones.  No surviving cantata ends like these chorales do, so the evidence points to the idea that the orphan chorales were different in some other way than just being orphans, either as evidence that Bach's style had changed by the time he wrote them, or that they are not by Bach."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Gap-Fill analysis\n",
    "\n",
    "In a remarkable set of articles and other works from 1998-2000, Paul von Hippel explored the concept of \"Gap-Fill,\" or the supposed idea that after a large leap in the melody, the listener expects that the following motion will be in the opposite direction, thereby filling the gap that was just created.  Hippel's work compared melodic motion to the average note height in a melody. When the melody leaps up it is often above the mean so there are more pitches available below the current note than above.  Similarly, when it leaps down, it is often below the mean, so there are more pitches above the current note than below.  Hippel's work showed that much or all of what we perceive to be gap-fill can be explained by \"regression to the mean.\"  (The work is summarized beautifully in chapters 5 & 6 of David Huron's book _Sweet Anticipation_). But there are many repertories that have not yet been explored.  Let us see if there is a real Gap Fill or just regression to the mean in one piece of early fifteenth century music, using `Interval` objects as a guide.\n",
    "\n",
    "First let's parse a piece that has been unedited except in the music21 corpus, a Gloria in the manuscript Bologna Q15 [(image available)](https://www.diamm.ac.uk/sources/117/#/images?p=45v) by a composer named \"D. Luca\"."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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LpObdQNT+Hi8+SJyQynIwxf4u+VCdZR9jMGvfN/Ky1OPxVoNekiSpa0ywS5IkdeZpInmY5wPAnj2KpddOyZm/AbBtB+1ukTHvBMZmInQCcEDG/GdaaKPTQWP7wT3AkTnL1gX2Lmi/u5Bf5/37jN2rIjoxBdi55vGNjM9e/JIkSV1hgl2SJKlzPwO+Wmf5D4HVexRLL90I/DJnWb1ew/UMEQN/1noc+G6b7ZVtFbIHbX1hC22skDFvLCbdTwbOzFn2XWC1Lu9vMnGFSZYbyU/4D7q3ArNqHn8GWFpSLJIkSZIkSRIQJUAuJHpZZ0230VpStRlr1NnfgS20c1BOG9s3se0WwJKMbRcBL2ghhoqtM9o6oslts/6GH7QRQ5bVc9pvNEDmFjnbLQCmNrnvyzO2v6+F2HcAfgfcDdwB/AhYs4Xtu2lZ4Dyyn5ML6G4HoM/m7OcRYO0u7qdik5z9fauAfbVrWWKA4kpsl2GnK0mSJEmSJPWJ5YnBHPOS3g8AW3Zxf1vW2VcrCfaP5LSxU5Pbfzxn+7zeyvWcmWrjXJpLAC6bE8Ov2oghS16i/H8abLdmznbDRAK4niGil3XWts/SXC/2PYneyentH2P0lQK9shxwaUZMw8BJwKQu7OM9Oe3fDWzWhfaz7JKzz7xe9M2aAXyeOIH3S+Bw4uRaO75UE9eDtHcSTJIkSZIkSSrMROAY8pOqTxGDXk7pcD+TgV/U2U8rCfbjc9rYr8ntJwBn57SxTwtxvDK17V3A7Ca3zUtk/72F/deTlzw9u8F2E4CHc7ZdALwxZ5vXA39J1vt3zvZb1WwzRHat8Xk52w4DTwKrNoi/KFOJkxNZcf0RmNlmu0PEFRnPZ7R7DcWWanp3xj6HifdpJ07KaPMZ4P8B01po521Un5dngZd3GJckSZIkSZJUmDcAd5Kf3JxHDH7ZTqL9xcANddo+jaj93YwhokxEVjufaiGm5cku/fE0zfWEX5eRieR/Aeu0sP89MvZdSUSu3EI7eT6T0/6DNO5xfWLOtpXpV8ChwIeB7xF/+zCRDP04kYTP2u46YH/gECIpfXVqvys12O8wURe9LENErf7FGXHdSZycaaXW/Grkn+g5F5jercBzfCdn3zd22O7NOe1WTkLtR/3naQg4mGopp3uBF3UYkyRJkiRJklS4qUQv0+fIT5A9A5xFJMC2IBLjE2vamADMAV4CHEX0ws1r6ypa65U6RH6v22GipE0rPYknAadktPMs8H6yE9FDRG/t2uT6VcTf3Ky5RHI57+84lejx367ViKRkXvsHUz/BuQYxUGujZHftdD/VExP1yszUOyEyjeye3LXTvFaeiIJsQtRfz4rvz8TVGHmvwwnE83QK8V5Kb38rsC/FDgpbGZh3Qcb+K9NbO2j//DrtVqaLiDETasspTQR2JU6+VNb7Nd0fTFaSJEmSJEkq1MrAfwH30Fyi9HngIaJ3dKME6b+IWt4bNxnLKsBeRJmarMEz09OTwNeAtwMvpXGP+yHgTcRgmlnJzuOJZPv7iHrQN6X29RGaq8G9MVGL+tfEgKqN/o77iDrWb0v+jnqlNWYAOycxnkj9EySV6WLgE8DriJ7jabuSnQBOT0uS52hGavs/NNjuMzl/yzlN7LPont3NGAL2Jv/KjMXAtURP9FOIk1LXErXks9a/h7gqoBv13NNmAzsSSfP/Aq7PiSEd/x+ADxLvv5cBGzS5v5cAjzaxj+FkvfOAKxh50uoa4FVt/8WSJEnKVWRPDkmSJI20DFHKZC/gtbQ3UOHDRGL8cqLXb6VHe7M+ChzWxn4r9iYSm41MIQaafBPwCkb2yk/7B5EoP5E4sdCM04gkZbsOJAbazLIX8M0O2j6GKBeSthUx4OVLM5Y9DfwU+Dpx0iFtYyJZ/sLU/AeJEjG/zYllZaKGd1at99p1HqmzvJeGiP/rocRrZ5kWtp1PJOB/BPyJODlVhA8Sg8926nFg6ybXXQf4AXHip9nfcE8SJXNOJBLurRwnJEmS1CQT7JIkSeUYAjYCNid6sq4PrEj0Jp5GJAsfIXqh/pvoEX451bruY8ksohfuqsm0LJEYfpBIJt9WXmg9NwRsSpTyWZXocXw7cAkxAG4904kTMxsCC4F/EuU/Fjex31WI5PxCom73d4kE9oKk3aKS0Z3YFziD5n6z7J+s249/RzetSozvsDlxpcRKxP/vaeL1cxfxerqSGOB30J8PSZIkSZIkSeq5k4gTNeeXHUgDH6G50ih3094VIZIkSZIkSZIkNW2Iat3weqVj+sEQUTanmST7jcRVIJIkSZIkSZIkFeLNREL6UsZGycgJRF31ZpLslwJTywlTkiRJkiRJkjTIXgDcCywle7DVfjUR+B7NJdnPAiaVE6YkSZIkSZIkaRCtTAyMOgy8v+RY2jEEfJrmkuwXEIPrSpIkSZIkSZLUkY2pJtePKDmWTu0G3EfjJPutwJYlxShJkiRJkiRJGgBvBZ5OpoNLjqVbVgS+AyyhfpJ9MfBFYEo5YUqSJEmSJEmSxrJzgN8Dc8sOpAAbAGcAz1M/0X4v0XN/+XLClCRJkiRJkiSNRbOI+uWDbA3gv4iyMPUS7U8DvwD2JwZ8HfTnRZIkSQXzC6UkSZKkQTEEbETUad8N2AmYWmf9R4EbgYeT+8cBtxccoyRJkgaICXZJkiRJg2oCsBqwds20AlEqZnoyLUfUcl8EfJpIuEuSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmS2jRUdgCSJEmSJEmSpBGOBl7YxHoPA3cC82qmR4sKKqWZGP8NHAEsKD6ccixTdgCSJEmSJEmSpBEWAGsA29N6J+l5wGnAD4jke1EWAnOBl+QsvwO4BpgD3FNgHJIkSZIkSZIkjbIbMJyaTknmvwX4VPL46oz1FgLHAFMKjvHAjH1/G5hQ8H4lSZIkSZIkSarraUYmrzfNWW8n4C+MTnafTbGVTCYCS1L73LbA/UmSJEmSJEmS1JS7GJm8blT3fG9gUWqb0yi2R/nDqf2tWeC+JEmSJEmSJElqyu20lmAHOJjRPdk/XVSAwP2pfa1W4L4kSZIkSZIkSWpKOwl2gO+ntvs3MLWIABnHCfYia+9IkiRJkiRJksrxReC9wFDyeDbwTuC7pUVU37eASal5ZwPnJPffDWyfsd1XiJMQaTOJv//FRE345YG7gWuBbwA35sSxOXAosAUwF1gWeAS4GDgB+N+m/hpJkiRJkiRJUuna7cEOcGFq20u7Hl3oRg/2k4hEdm07R9Usfzfwe0bXl39ZRlsvp1q7fhGRVL+tTtsVn61ZPg84g0jKV+Y9RSTgJUmSJEmSJEljQCcJ9kNT297b9ehCt0rEbE3jJPh7qZ9gPwBYkiz7CzCnZtkVqW1fXbPsnTXz7wKmJPOHgF/XLPtp7c6KHDlWkiRJkiRJklSeu1KPV2N0GZZ+ch0wv8E619RZNoco/zIRuAHYlegVX/HV1Pq71tw/uOb+ZcCC5P4wcGbNstfXNmCCXZIkSZIkSZIG08LU4wXA5DICadIw8EyDddJ/U62vArOS+0cR5WFqnQ3cU/P4jpr7i2vuP5/a7sqa+9OAFSsPHORUkiRJkiRJkgZTOpk+jdHJ40ExGdg/uf8M8JuMdRYAuwBvJgY5/V3Nsv8EvkzUWf9Cart0WZ5VgMfBBLskSZIkSZIkDaoNU48foVr6ZNBsQDXffSfRGz7LbUQiPe0yYKeax8sR9dzfD2yTWnfCqDuSJEmSJEmSpIGyUepxuib7INmk5v7i3LUaWwk4mhgQ9iSit/oP8lY2wS5JkiRJkiRJg2nz1ONflRJFb0ypub92m23sB9wCfILInR+atPWlvA1MsEuSJEmSJEnS4NkL2L7m8SLq9MQu0Szg7XSeq67dfkVgnRa3Pxj4eRLPI8BWwIk0qFlvgl2SJEmSJEmSBstM4LupeT8DHi4hlkYOA34MbNfk+kM58/+VevzfDdrZDbiQqNu+GnBCzbIjiTruDZlglyRJkiRJkqT+lZdQzrMM8E1g9Zp5NwOHdy2i0VqNseIFwBHA08DVOcvT0mVvKvu+JTX/HcCOOftdHzgdmE30UN+DkSVm7k2tPzWnHUmSJEmSJElSH3sMGK6Z1q2z7huAf6bWfwCYm7P+9sClRG/tIzqI8bnUPtdsYpu1gH8k659VM/+GmnaeBKbVLFsOuDi1r71qlv8itWwB8B5gYs32+wAPAUuBnZL570htl665/unU8p2b+PskSZIkSZIkSSVam5GJ3WHg/cmyiUTi/JVEEvkvGeveCWxdp/3LatZdSvTsbtWmGfv9b7Krp0wHXkaUY3mqZv3Datb5aaqt64CDknVuytjXFcCbiZ77LySS6ul1niaS+bXLvlizz7ek1p8PfAU4Crg2o70ziKsE9m3+aZIkSZIkSZIk9cKOwIcZ3Ru9NgG8OGfZMHA9MXDopAb7eTS13V71Vx8V40eBO3JiWEAMFno/0Yv+6Trx1ib2tyHKtuSt+42MeYuBlybbv4PRPerT0ymMLGszh9FXCtRO3wWeyJj/9RaeL0mSJEmSJElSD1xN/QRxZXqW6Jn9G+A44BCih3izjq1p6w5g2QJibDTdmdH2/sDjyfJKsvwJ4OBk+TCwCPgD0bt9pdT2WxM9z5dm7OttOX/Pa4jSMZXntXKiYrdk+edSbZ0GTG63+LwkSZIkSZIkaezbnujBfR6RtO4XyxEDmj5LlJb5O7AwWfZa4EoiCV/PDKJH/HSi1Mw9DdafDmyVtPsY0fO+1rrAFklbWScGJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJO5V3ScAACAASURBVEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmS+sNKwLplByFJkiRJkiRJ0liyC/AI8AywScmxSJIkSZIkSZI0JrwTWAwMJ9NNwNRSI5IkSZIkSZIkqc+9FXieanK9Mn2pzKAkSZIkSZIkSepnLwYWMjq5PpzM36i80CRJkiRJkiRJ6k8rAHeQnVyvTL8uLTpJkiRJkiRJkvrU16ifXB8GlgJblRWgJEmSJEmSJEn9Zn1gEY0T7MPAL0qKUZIkSZIkSZKkvvMjGifWH09uFwOrlxOmJEmSJEmSpLJNLDsAqY+sDvyA/PfFYuAEYF/gXcAM4Gngoh7EJkmSJEmS1A9eQHRQfBmwBbAOMBuYDCwg8ifSuDFUdgBSHzkSOC5n2f3Am4HLksc/AQ4A5hEfJJIkSZIkSePBesCtdZbPB+6rme7PePwQsKTYMKXeWKbsAKQ+snfO/FuAnYEHa+b9jUiwrw3sAFxeZGCSJEmSJEljxIxk2rjOOkuJPEs6AZ9Oxs8nyvRKkvrcFOLMabre+p1k11nfpWadE3oUoyT1yoHAHcCssgORWnQMcAlepSmNR/+P6ARjGVRJKt5mNB6/rlvTM8C/gD8T1QS+AhwOvIno8DiXKE0jlcYe7FLYjNFfxhcD+xFnT9Puqrn/2qKCkqSSfJwof/VC4LGSY5FasROwHfGZ7iXH0vjyCmBbYHngiZJjkaRBt0oP9zUNWD+Z6nmY7FI0tY8fw97wKoAJdilsmDHvC0QvmCy1CacNiQE+7ut2UJIkSZIkSWpo5WTaqs46C6km3fOS8fcDzxUaqQaOCXYprJh6fD9wbJ31n0093hH4eVcjkiRJkiRJUrcsS1ypu06D9R6jfm/4+4ke80sLi1Rjigl2KSyfenwM9c9YTk093rS74UhSX1i17AAkSZIk9Z0HktsrgF8TV/VXptWTaSznHGcl02Z11llCPA/3AWcAx/cgLvWpsfxil7qpdjC0RcTAGfXMSD2uNzK2JI1V2wDnlB2EJKklhwCbA4eWHYgkaWAtSm7vIgYdTZsAzKGacE8n4Cv3ZxUeaXGWAdZMpttLjkUlM8EuhdrLes6n8aB+a6ce93KAD0nqlVcCny07CElSS95FDPZrgl2SVJalwEPJdE2d9aYwMuGel4xftshgpU6ZYJfC4pr7f21i/fRlQit0MRZJ6hcvJU4gPlR2IJIkSZIGzgLgjmTKM0T0dE8n4DcF9gMeJ3I6KxcaaX31SsloHDDBLoUFNffrnV2t2C712PeSpEE0CfgAcFTJcUiSJEkan4aBR5Pphpr5GxEJ9t8BBwKTiTGkGvWGX66AGO10Oc6ZFJTCMzX3G/XUnADsnpr3ZHfDkaS+cQjwZWBh2YFIkiRJUo5FwN3JlGeIGFMvnYBPJ+NXJXI/UlNMsGssOQRYjRhE4+Eut71Bzf0XAWvUWXdzYrCOWpOAPbsck9RPVgbmAk8At5Yci4pXO5DzKsDxwO9LimUrYC3grJL2X6a1ic+b+4H7yg2FDYGtgZ8TvYj61czk9nXA82UGonFrMrBlcv/vjBznp1cq74Px9t10peR2N0Z2nulnQ8C2yf3rqQ4aqLFnJWAd4Cngf0uORYNnOWCT5P5VxLGjbKslt6tT3udNJW/zgg5iyOoZD5FcnwnMTqZZNfdr51V6w0/tIAaNXcsCW0B/vCmlZj1MJBruBh7pctvLU02y38TIkjFpLwRWTM17CLi3yzH1m+WJpNsUYCKRuFgIPE304O/nhIs6N4dIcj5O/fp4GgybEF8SKxYDN1JOomgD4vhzDePvODOX+MF+KzC/5Fgqr4l/0N8JoI2IHzrj8fWi/jCZ6IwBcBnlDMpWeR/8vYR9l6nyeXEdY+cE2wTi5CXAX4BpJcaizswmTozPx84o6r5pwMbJ/avpj1zeskTd8TJ/H04h6rA/BtxZUgyV/82TwG0lxaDyVN4H0phyOfFj+dAC2l4/aXsYeEmd9dYmEk3DqenAAmLqF7sANxN/55PAacCxwJnAc8n8h4D3lxWgeuJQ4n99RdmBqCduYPRx7vMlxXJRsv8pJe2/TCcTf/uJZQcC3EPEsnbJcTRyBRGnV2mqLGtRPW6mr3jslcr7YLy5gPi7ZzZasY9Mofp68Qf62PZu4v94fdmBaCC9iOqxoh+S6wDrEfH8rMQYNkpi+Mk4j0HlqbwPhq0nJIW7qfbMnFtnvc+T/aP90q5H1B8+BpxPnJG9kegZdEAy/03EJbgQ5UNOAk6lfz7wJXXXR4kvEJIkSZIkKWGCXQoLgXnJ/Q1z1nkRkVxOu6Zm20HyIeArVI8ThzF6ANh/MbKH1IHA4cWHJqlgT2XMmwJ8p9eBqO+sXnYAkiSpbXOIDmV2ipKkLjLBLlVVLufLujxzIvA9sr+IlHlJVFFeTAxqWDEPuDi1zmbAnxj9nJhgl8a+a5Pb36Tmv4rsE40aP7YvOwBJktSyFYCziXHN5hFjqmxcbwNJUvNMsEtVVya3WcmDw4FtMuY/BXy/sIjKMQR8kzipUJEugTOdqIuc9aVs7WS5pLHvy8AZqXnHM3qgZ40fry07AEmS1LLjgD1rHm8K/BJzQpLUFQ4AJVVVBm+cC6wKPJg83gL4Us423wGeKDiuXnsLsF1q3q2pxxOAWTnbL0kmqRPrEl/8VyFG5n6QeI/eW2ZQ49BSovTTikTvdYgxF44GDi4rKJVqZ+J9mS4ZJkkafNOIcZe+RbVzknqr3e/Ib8yYtzHxve7BjGWSpBaYYJeqrgAWEHWGdwJ+DkwFfkp8eUl7kPzE+1j2Hxnz0l+65gN/AHbPWPdc4nmUWjWTuFrkQLIH0xwmXl+HA3f0MK7xbhGwL3AJsGUy733AD/HH9Xg0CfgAcFTJcUiSem9r4nvav/E7QC914zvywpz5doySpC7wciCpaiFweXL/Ncnt94FNctb/MPBk0UH12Fzg5Rnzn8uYdxBwU2reTcD7ux2UxoXDgDuJpF3WDweI8kV7ApcRpYjUO/OBPaj2jhoiLjXW+HQI2SeeJUmDbSh1q+J16zvyDzPmXUScLJEkdcgEuzTSBcnta4CPkD+Y39lED/dB87Kc+c9nzLsfeBFRUuZTwNuIOvUPFxOaBtRMYiDNbyb3m7EK8NXCIlKe+4F9gMXJ4x2BvcsLRyVaBXh32UFIkjTAuv0d+fPE2DqPAE8Tv2X36zBGSVLCEjHSSL8HvgisQX7vzEeI3tuDaIuc+ZNz5i8CflFQLBp8s4HzicuNW7Un8bpc1NWI1MjfgM9QLY/1BeDX5YWjEh0F/IT4kS5Jkrqn0+/Ik6h2iKhYDPxXMg0RZWUkDYYVgbeWHUQfuRm4uNc7NcEujXQt8ACwGvlXeBzE4PbS3jBnvqUA1G3TgAup1vRu1WTii4QDLfbescQVK5sRJbR2A84rNSKVYRXgE8B/lx2IJEkDpBvfkacDj9dZx+S6NFhWA04sO4g+8n1MsEulW5nRZ/trfQ04q0exlGHFnPnTgJ2TaR3gGaIn/3XAXxncEw4qzvG0/8MBYCnwaJdiUWuWECW0zk8eH44J9vHqo8D/ALeVHYgkSQOiG9+R53cpFklSk0ywayxZJbndizhD123LECOzvyBn+b3AAqIkwqDK68H+VeJSwnuBp4BZVP8fS4HbgUuAB4sOsAtWJE6kTCN65k8mBrh9ELgbe3Tk2Ta5XZ3O3wOr0HmZpUeJEhVFq7xepgMTiXIY9zL4P1y2S24/QFzVk2UeMZDW7kR90KIGfV4nuT2KSO6PJ9skt1tS/mfP1Ix5U4A/Aqf3OJZ61khuP0d8Pg268XqMytIvz8WMmvsfpX7HjaJU3gdlHzd6bd3k9tPEd/axoPb3+EH0f9mtNZPbHRh/r69GKknxObT/3HTrO/JnO2yjbP1yPO8nq9bc/xz9MdBwpXPe5pR3PJid3Jb5XbkfYli18Srjyqvo3f/i/zqpmmDXWFIp2TKV5gd6adYQkSTKS64/QwyAOiNn+aDIOyYMAecAd9XM25A4cE0A1idGtb8CuKbIANswiUjQbUAkhyfVWfdR4u/s9x83Zagk1ybS+ftvhw63B7ilC3HkWZYYj2BDYIWcdeYBf2Fwv+hXykItDzyXs84NRIIdIhFc1Hu/clxagewBlwdZZfyLSRT3em/WE8QPiFuJY37FOsBLgH+VEVSGyutlJoObYPcYVdWPz8XyqftlvA5r3wfjSe3nxZQyA2nBxJr70+n/3+fTk9tlGX+vr0amJbedfFfu9+/IRerH43k/qf1sybvqvNcquZEyv6dWYpg8zmMoogPqWDaT3v0vBj1HWLgJxBnVueQP/rgCsFbPIhofLid6Fx9aQNsnJm1nTc9S7b076C4l+zm4qoX131V4lM2ZBnyK+AKW9TctBE4D9gXeAFyZzP9jGcGOAYcSz88VXWjrdvLfb81MdzLyS2Y3HUbUrGwmjgepJpgHzbeIv7HRse9fyXoXFBjLRck+xkqypJtOJv72fqipeCYRywuJwa1r3wsP0T8/9q4gYur3JFW7PEZV9etzsVbNfuf0aJ9plffBeHMB8XePpeTiFKqvl81KjqUZOxKxnlB2IH3o3cRzc32b208A7qB/vyMXqV+P5/3kRVSfg37ovQ7RwW4Y+FmJMWyUxPCTcR7DG+js2DFo0/929nS2pPI+GM4bxFGj7UB8kbgFWET8mJxH9OybRwxE8h3gLcTB7zz6ryevsn2EKIOQ5xDg6h7FUra83gDX5sz/c8a84yj/LN6OxHv1C4z+krkUOIU4EB4A/BL4LbArcenhrlR756j71iQSdO1aArydKFXUTTOB3xClTpr9Yb4KUT5pPDszud2O/vmyr2ItJcqp1Z5UWRk4upxwxg2PUVU+F5IG0T5Uy+K1o6jvyEXyeC5pYAxq755uWo8Y2HLPjGXPEnUV5ybTLkQytmKs1P4bz/YkEsL1lFE7syzzcubn1Va/NWPebOJ5Lasm707ECa5lM5b9HTg4uU17Opm/BlFjPq9MzGrAclR7Yas1sxuvkmsJsD9x5UQ3zSYG7Ny6jW33JHqfjdfj/V+T2+lECab7SoxFvbOIuPrnEqo1Z98H/JC4Gkjd1ekxalniqq1B4HMhaVCt1MG2RX1HLpLHc6l7Hktur6HaAarXVgEOJzqn/qqkGFYDPkh+XqtQJtjr2xU4g5GXPd8EHAv8jbjsYCnxQtoH+Dwjk0dTiB59JuH600ZEiZC8KzkWESWA9gJ+2qugSpZ3Kc2zOfMfyZn/cspJsM8Gfs7o5PqzxIBX3yC/hvN0ohfuMNUPqFrTkrYrJ9tuAt4M/LOzkNWkJ4F3AGd1ud1pxBVIWzZaMcdk4gfRvV2LaGyprbs9BxPs48l8YA8iob4G8X3nOOL4r+7pxjFqFvmDFY8lPheSNFpR35GL5PFc6q7Hk9t/AF8uKYbNiAT79SXGsBWRYC/lt7klYvK9CPgDI5PrvwK2B/4HuJnqoEUPEeVh1md0yYxp9Jf/B7yx7CD6wEyiLEheKZPfUh11+DWMn/dKXimYvKR03uCHZQ2y8WnihFeti4kBc75G/t8xhTiZtiqRMMzqvX4AI69k2ZQoLzMxY1011sqVIZcRH5ZF/HA4nva/3EN8DjzUpVjGotrLkMdjjfTx7n6ig0Hl/bwjsHd54Qykbhyj8k6GjzXdeC7+3aVYJKkorVwVWeR35CL52SZp4IyXpGGrliEGFqvt4f9N4E3kl42AOGv0ZmJwkYp+SrC/DjgKeGXJcZRtItEjfYOc5VcQl9idkzyezfgZ5PQK4IkW1u+nY8hU4P01jxcBHyNe77fX2W5N4nLK1yaPz81ZL+s1sDEx0r1ady71/y8Ql7jtQyTt5hUQw8ZEyaBO3Mz4KiOVVjteQb3PRw2uvwGfqXn8hbwV1bKt6M4xakkXYilbt56L8Xy8ljQ2nED535GLNOifbesRnQ0+AHyYGKNvzVIjktQTlojJdgQja4E9CnyK5kq9PEoM/lWpS9svCfa1gVNxEDqAL1JNpqbdRpSEeQ64jjgzPgfYDbiqJ9GVazHRK/u9qfl5ifS8KwDyarYXaRuq77e7iC+djQYa3hf4HnGJYcUpOevm/Si39l97HiJOSO5JjF+xJtXe4P8Efk+8H4v0ti608YMutDGW1R4DxtKgWuquY4n302bAJsRn5nmlRjQY6g3A3qxBOUb5XEgaL24nSpmW+R25SIN4PJ9JlMY4kEiwpw0TnYsOB+7oYVySesgE+2jrEr28a32F1hIHlxGF/belPxLsKxEH9BUbrTgO7Ax8PGfZY8DuVC8fHgYuIHqzv4qosT8eHAO8i5GlT6bmrJs32vtfuhlQk/ZPbm8g/l/1Lhtckegd8o7U/HOJumVZLgYOTc27iMY9TJRvCfCbZMqzI/B2ihk8sdOreebRf1/we+0Fye0wll4Yz5YAHyEGK4P4AWmCvXN5nQGaNY/BOUb5XEgaT5r5jjxWDdrx/DAiT5D3uxiik+OewIuJksPzig9LUq+ZYB/tHYxMJj4OfKuNdr4N/IjRicnNiSTdFsBcYjDGR4jk3QlkDzI5AXgpUaLm9UQt6W8SPa33BV5B/C+vAT7LyDramwK/IHqUVewCnJTcvxM4mvgbJ6X2ezbVMinvJj4M0r7CyATjDCKB/XLghcTzdwtxGdeqRI3ssuqlLUP8nVm9+IeJM87p3gAXEonb7YmTJXmDfQ6SW4EfE//zijk5626eMe8J8susFKkysN7HqP8a24d4f66amv8scfVKnl8Rg3UcRLyvzyUG0FCxPgq8AXgrcUx5tIttb9PBtkuIxP9477W9aXJ7H/BMmYGodBcQn5m7Ej+e18YfkJ2YBazVwfaDdIxaAZ8LSRoEg/TZNpO48vkNLWyzCvBVIocjacCYYB/t1anHN9JeUvUURpea+CwxyChECYvLgO2IS8A2IgZRfCkje9B+gyijUJsMnEUkQN+ean9NYkDOXYha2gDHMTK5DnEJ92bJ/SeIBPskIvG4Us16D1BNsEN8GO7KyET8j6km2NcCLgdWJz70fk8M0rI/cXIA4OuUl2D/D6rJoLQvEfGmXZjcTiYSuOOlR97HiEv8V08eZyXSIV6/aZ+mtTru3TI5ub0/Z/k6xAmWPTKWDRNlcf5Vp/3ngf9KpiGaKxmlzn2b+OI6AziSeP67pd2SWUuI49qlXYxlrKp8ltxSahTqF0cT3xOGgP2Ik/BqTydXQA7aMSrvKrpmDNpzIUlj2aB8ts0mrtrbutGKGfYkOllaZlQaMP00QGG/SB8ku1Uj651Uk+t3Ewn1NxO92CuXfk1ndPLoKUaPJH4UkVy/D/g5I2uDTyVqjFfsSyTka5MfpybzZhFJR4iBRl5TJ/4fEeVT6tVM+z6RkF1IDCD6FuLv3onqICTL1tm+SCsxuvRPxcWMHKCt1jyqr4HxNDjso8SH/2PJ4x0ZPcjn64CXpeYdSyREy1Cpkb5yav4s4kTTP8lOrj9BvBd/1sK+TK73zvlUSw69h9FX2nQifWxtxpPEcfXMLsYxlu2c3P69zCDUNy4groKC+t8pVByPUVU+F5I0GPrpeD6N6ITXTnIdolPYrIZrSRpzTLCPNB2Ykpp3Z5farh0p+zKqiZ1hRn5QvD613aeIXtdLU/N/RiSx3wrsAPyhZtkuVM8OP0uUaXm+ZvnjNVNtT+PrgPkN/o68QSOnJ/uFqJNcO8jl5VSTrunnt1e+QHYN+keJgdmez1hW8efkdjwl2CFKDW1PvF4nEPXGTyWS6GcDv61Z93oieZ1X374XKqVDfkCc3NkL+A5xtciRjD65s4i4QmQ9YmBX9a/jkttViPr63fIErZ0suQzYCjirizGMZZtSrcF+UYlxqL9UvtNshwOrd8OSxqv8n0E/RvlcSNJgGMvH8+OBLTvYfinlXdEvqUCWiBlpMpF0m1wzr1v1fhfX3E8nc2sH7ptGJIIfr5n3LHAP0dsd4AyqAzpCHKS/x8gBQ+YSPXZbMUzU0J1RZ528S5nmUH09bQ6sT7UXG0TS83A6S7Cvndx+ENi7he2mEichsjxAlLmpp1Ke58XEyYLniS8FrXwxGMueI06szCGS6BOI5+Bh4GnitfoUkcQ+sqQYIU44QbxO8nqjLyV6QDwMPEQkCH9eeGSDYY3kdj2il2q7lk9u92yhnSHiGDqJONZ1qxzJysRreTH1SxA8RZxsfQ44uUv77gdTiZOjyxLP8SLi/bEA2DBZ50TyT7xWPpOGiZNrRb3/t0huf8fok82DbuPkdmc6e991Q6VU2E+of/VHpdTcdOASirkEut5rt/KcncfYvtqoclL46eT+eDxGVVS+l4+V56L2u+6plPN7q/I+KPu4UYR67/9Kj9LfMHa+p9d2eDuW7l6pV4TKQI77UC0Tp7BacrsW7b33Kp0WjiA60Q2isf7Ztjzwkg7beJaRnSNb2XfF+blrFSPvuFvpSLEz5X3eLJfc7jrOY5ie3L6mD2LYvcQYKu+TXsbwf8cxE+wjLWVkch2irnk3/CcxQOJTRG/qWi9MPV6FkQl2GDl43AMZ7d+Vetzry47uJxJVE4kTBH8leu3/Oln+D6JEzj0d7OMJItl9Ba29Wd5Jdi+6q4jBYvNMIZLqlZIjQ4wc6PUpYlDU64iTJIM6wN/aREmjZ4kD1lQiYTKf+H/eyOjXXxkOIr7YfpP4kJtGJE6fI2J/gLiyYrwl6LrlVUTS9XFGjy/RirnEF9NbWmxnaRLDMh3uv9bmxOvkMOJH4obE8WuYeH0/CNzEYPUymUaMr/Ay4rMmbZg4pt1FnFQ5m/wruY5Jbm8kTqIW5QXE/+VURp6sHg8OIkqv3U0ktsv0IeLz8Ezg33XWW5Vqz64/0L3Ph2Zfu08QHQV+TP2r0/rdLKI82x3E1Vbj5RiVZQViHJx5wAn0/3Mxm2oJvV/R3lhOnVqbeB+cUsK+i9Ds+/9R4r1zOuU87+2YRPUq2QuIDiD9bANikPibKf9zqd+8ghj7bD7tvfd2IX5zXcbgXhk41j/b3tOFNn5Lewn2takm90/pQhyNNHPcrXTovLNHMWVZncjR3DHOY1iDuHr0tj6I4dYSY6jkGnoZwyrEWJrK8BBxsKhMv66/etuWA94PXJ3a3zCjByWF+JCpLP96xvJNUm2ka2M32r7i/pr1jmpxP2dl/C3nUe0J2anLkzYPbWGbIeLDOR3XU4wcOLbWMsAniS/p6e3ypsqJk04G4uo3ryfKxFT+xieBnxJJtW8SXwyeSpbdxMirKspwchKLvWmKcSjx/F7RaMUGtkra+W6L2+1H9bW4QocxVNxG/UThoDmMOEHSzDHtmeQ2PfZCxQ41676ryKCJH5nDlFdirEyV49qJZQdCJNaHqV5NlmdVqq+N7Rus26xWXruLktux3olkDeLv+E2jFceBymvqnCbXfzXxvO1UWET1rUX19TinpBiuYGxfwVGrlff/wuR2ZmZL/WkK1fjHwnfYHYlYTyg7kD70buK5ub7N7Q9Jtj+oaxH1n7H+2XYfzecHsqY7GdkTvRUvqmmn6BJ8rRx3h4kOOWXZKImhzBN+/RDDZkkMp/RBDGVecVLJNfQyhvWSfQ5bg320m1KPu5UcrlgJOBq4FziJONtRZM+/Xjqc+NCp9Rqi9/qXGX11QC+sTvVy9VrHMrJOfO36FxPxtnIVwHSiXv4NVC+jH6smAj8kzq5vlcy7GFiXSKJ/gijT81riR++HiS9LpwO/oLyBbDXYahP7G+SupSwziR8y36T5pMO0Bssrx9VniB6aUsX0mvtPd9hWO6/dfi+voOIdCryB6Pgxu+RY1L523v9l/NaQND6sSuQK2rUEeDvRQa1ftXPchWrOQBrXTLCPdnPq8bpEwrEb9iPKInyCeO4PJXqCfalL7ZftTqJXw+Wp+ZOIHuFXkX15UZHWy5j3DNm9LlYG/kRnl3esR1zW9/IO2ijbyUQPjIqHgTeS3dP3GeKKiB2Ax4A3Y48WFeNuql9IX1BvRY0wmziuvaHN7fOSFWcTAwm/jMaDY2t8qR3HpZMfkZ2+dj3ZO359O7mdQbljw/S71Yjvrf04GHGR7/9+/rsl9a9OrqRcQnRUu7RLsRShk+Pu6oz9KweljplgH+2G1OPJdCdZejAxmOIsomTJVsQl32O5PmiWecTzdQRRB7XWlkQv515aK2PezxidEBoiLn/vxhUL04nB+DbqQlu9tjejyz38hNH/y7SbiRNHAO+je2MXSLUqg073eoyJsWoacCHVQd/aUa8H8jm0fxm0BlflBNgw7Zdg6sZrt96A7Rps5wN/Se6/B69qSFuBOEl6P1Gj9B9UB0XtB914/2edHO73v1vSYHoS2JfINfSrTo+7E2h89as08Eywj3YqcHtq3ic7bHM1RvbqPZL8QeP6XV5vjxWJ8iArEycNvgasD3wvtd7O9LYe5coZ807JmHcI9U+kPEuceYZqbeJ6phNlE6Y3WK/ffCJj3v1NbvvL5HYiY7sHv/rXY8ntII11UKTjqQ422Y6lVAcvkpq1aXJ7H+0P/t2N124/Do6m3jkuuV2FGCBbVccBe9Y83pT4Dtcvvwu78f7PKgOZ93d360plSePDksar/J/LiI6VZxUUS7d047jb7nc+aWD0yxepfvIc0du81m6MLJnRjB2Ae4APAXsw8pKie1Pr9jpZ1Oz+ssowpOuLVxLuU4jyILvXLPs38Vy+j2pCegKRZO+V9GCIDxIfdP+fvfsOl6QsEzZ+TwAmATOA5DCAZFBEUFQUBdRdBRUMiGLGCCuGNa+ZVdecZXdRjIuui2JgqB4XNgAAIABJREFUDaigkkXiEiQOSM5Dnni+P56qr6v7VHWs7upw/66rr9OnUj8dKj311vNmzQbelzPvfUT5nscSnZGkraFOIlrG7Uck6x8qeO2dqJ3gjYL5RK/PjdqtKX8fte+5285bpGbS7egjlUYxGnZj+r6sU5cBK0qIRZMl7aTvb13Ovzvl/HY7OQHW+PkVtTsoDqoykD56NHHn4ZuJ/nAOpb07CF+QM2wnYOvyQutaWet/3r6r6H1v0+PrSZospzO9QWaj84FDiPK5S/odUI/K2u72uzJDt/s8aWCsk5Tv98Dx1CfV/51I7vw7cYWuyCyiNfTniNsT72T65/xM4NTM/wc3jN+Q6bXgW31XjUnzxpbm2SuKizPPFybT3pP8fyfR4h6iZvzR1BLI84kNWtaihv8PA77TMOw44kJDmqgdZHKssQbjz5n+/T2b6RvnPxDv5fbMsHOAZxA9eD9AfIenAh8BjiU6/Wz0OqJD1VY74WFQ1BHYYcR32Kpm3GJqv7vG36/Uq1nUTv7vajahgCiL0Ktx6YBbg/X05O9fu5y/8TijG/52tYK4s/ItjFcL9oXEsfnh5PczNAWcTPMa5MsKhi/vLbRS9HP9H+b3LWl03EXsV54G7EXcKTWVDL8OOINoaDkqhvm4q5193h/79NpSx2zBXuydRKI9tQZRM/0v5HeCOY9ISJ8PfJU4sD2SqDneeEB3FPBpIjF7AfDxhvFHEj03vzD5fxb1nYMuznn9xlYnjZ2J3pJ5/nTg7URi+WLiYkLq0szzdYjW3kckMZ9L7EiyPkC0XE8vADw7eWTNodYafjnwp5z4+6XxQkNeknj/hv/PIlri394w/Nzk7w7ExYbU9cRdCl/KWfZs4F/airR69xQMXxP4HdHKv9kJ2yHJ3xuZfpeA1Kt9qF1IvKrKQEZEL501Q7S2MUmpTu1CbX9/WpfLaDzO6NQS/O0qpCfd2zG9QcgoOopI3nyE/EQDxHHvgdRKNeX5Vs6w0xiOhFA/1/+i9319j68pafKsIhrafZrIG/0z8Emir7d0W/o8Iq/QmBsZNsN63NXuPu/pyfP5BdNIGiKvJzqmmGp43AecDfyUKB3yYGbc1cCzMst4FFE7uHEZ6eNYohPJxuFfAnYmamJlhy8HXgVsRSSvDwD+r2GavxKJ47SkwlsKXvt26jv2fDyxwyiK9cs5w1YQt9+m/y8jdjK7Jp/DDzPjjmrxeTdzVrKMIzuY55iGWPM2zr+h/r1sX7CszTLTPaVgmmOZ/vncy+jcLXIVxd/9FNESP+8W2/nEwcQU0cFtFY5LXn/XVhOqK0cSn+/ZPS5nd2rbvU58l1qniWVdHL6a7jthHHY303xdbvZYQVzQGBanEXHNaTHdOEq3a1+vOhCic64p8i/yp95D7TfUbamwhxif324vNife00lVBzIENiY+i192ON+WtD5u64fs65bR79BC4nfQzTqRZw2iBOLtwP3Ecfog+0dqpp/r/7C+7znU3sMoHMPuQ8T6xVYTTqDXEJ9Ntx3AvymZ/4jSIho+o7xvW0zE3m5npel2eynFd4p3Yg9q24qifvG6MWzHXd3u824oOY5O7JjE8P0KY9g1ieHbQxDDcRXGkOYaBhnDo2l+3KUGmwM/AK4lyovkrdCriVa7R5OfBHgWcFsybboRu4jaFc2PNSzvB0TL4QsKXm+K6Jhntybjp6jdFjufaMkzRdSZnyJar++eE+thRGvm7LT3UqvNNUUk+X9NHABsQNQ6Ty8iPJB5/fS93gG8Mue1OtFNgv191H9HeR0Z/TUzTauTt5uS6f6pYPwc4ntt/B56vTI8KG+nvR3YKdS3jkovAl1AdRcTTLD3V5UJ9p2JA7gpokxXWcY5wd7qYlmzA+UXVRBvM6cRsZlgr1Y7CfbLk2l+08Pr3MH4/HZ7McpJiLJ1m2CHWv8wLys1oubKTLCvT9wd223yo9mdh1BukqYMg1r/h+l9m2AfHybYWxvlfdtiIvZ2E+zPpLZuf6KE1+9Xgn2Yjrt62eetoro8hAn2+hgmNsE+Kq1qq3Yj8PLk+QIisbgbcXXtdqKl4OVE8rXIb4FtiS/8HiIZnS3b8iGidvljgAuJ22EAHtdGfO1sYB8kWrTvTrQwv5fiW0FPIGqV70YkyBcQSei01M0/EvXIG0uKbJcZtgXRaVDa2vRyqqlxeHfm+f3kd76R7QipVWmTc4kW3HsUjH8EeBfTkwtPYrClcbr1VaLU0d4tpjuA+J1+gygr9HbiJPZl2LGcyjWbuO1wNrHj+kq14YyM0yi+nbLIUuJC6M9Lj0aT4EnECQbEcUS3TiEu9HfC366K3EXcTbFB1YF0YR5RrvKxPSxjEXBrk/FTPSy7Hwa1/g/b+5Y0fk4hKh08legb6cPkd8BctWE57up1nzczWcZ9pUUkdcgEe+ceIJLL53Q5b7OOIq+hv51hrgTOa3PaByluqfrrguHZjgevZzhqGmZPKoo2tjcCT0ye399ieRcSCfbHNJnmt0RL7uzFkY1bLHdYrCBq//+K5u8RYvuRbcn/KuJCilSmL1K74HMCUQ5LrX0KOJT2y3ScSVxIXtKvgFpYn+g7ZAGxbbmfuNVzaUXxTKpevoc0gfkg8JMeYvgwUUN6VH67Gm53E60O51UcRzc+T2/J9dWM3l1arv+SxslniQT7RkQDtV9VG06uYdnulrHPe6CkWPJ4rhL8HJoYptvjpFaWEh2vLqf9q78zqXWMOEW0yG+0BlGOh2S5zVraz6JWpuDBJtOtmSw3tZLpnd0Osxl0fjK6mniPq8sPpy1rERv5hyuMYZyl60mz33070nWynXWicT1KS06VZS7xW8/bLoyDmcR60axm/Wpim5d3d0+/zSDW2dkUx5jGNYvef3ujKN2u3Uj/Omns9Htoth7OJn5TvW6Dh/23OwjpfngVcXfcJOvls5hL/I46OXbsVfYY6maijGKnssev3VpNHBONmklc/9PO+a4CNq0ykDak50Ktzpkm0Wzit/sI3f020/mXMb53BI/yvi2NvdPz+nnJvL2uM9n9wgOUm8urers7rPu8do+RVxDbxSpzPp2cY3fKz6G917QFu0bK1URplk/Sfn2ruURr8lnEhmEfpl/ZXEzcGgXRAvuFTZa3GVF6AaLm2NUF0+1Lfd2nXxNlVEbBukS5ol2o1RBs52ryzOTxVmqf0SB9Angx8b1cWcHrj7vDiRYOVxGfc7d2Im4n/B/ggwXTzAQ+QH2/DV8lOn4u0++Ji3Z7lbzcYTKLKPe1I5GgnSLu5rmFuBvgjoriegXwNlpfyJtFHKzNIu40GqULlWVIt2t/BD7Sh+V38j0sT/4+h+Yl8coyrL/dQdmYuLX8VODNFcdStUcRLeb+DLy+g/lmEXcezgHeC/yi/NBybUqsswAHU1+usF0fB17aYxyfpNparL2YpPV/LWp3572V4nOLYbEncUfhfwHHVBzLsHkhcQfhEuCgLuY/jOiX7WPAf5cX1lAZ5X1bmgf4PXBUB/N9hGjxfRNRl71bu1CrXd9OGeFOVbndHcZ9XifHyPcRxxr/C7yzxBg6sT1wMnGe/Z4Sl9vJ53A/8Tn8FHh/iTF0Is01DDKGrYDfDei1pNJ008kpxE4w7fxivzameWqL5aWduTbbCWQ7IRmWDuraMQ/4CxHz6cStYjOIDWvawWurx0O0Li/TD3Zy2l+D6uR0PvAz6n9TZ1G7y6RM49zJ6bBaSJwcdNN5kZ2clqeX72FxybEo3yh3BFe2bjs53Zfa73b3soNqooxOTtMOg7t9XEf7t/urWnZyOj7s5LS1Ud63LaazTk5TL6G2jvdyN2K/OjkdBsO0z+vlGHmcOjnt5XOY2E5Om90CIo2L/8w8f17BNB+kdkv7N2l+O++Fyd/dmkzTePvXqLSo/g+iZcrfgecTVyGngO8RV0WPofXtfHOJzk+lTm0FnEH9enoH0YLX25BH3/rAH4htSzfWKjGWSeb3oEnxuuTvXcAlVQbSha16mHcl0TCiVb9CUr+sTexrxi0JKHUj2zhpx8KpJtuw7PN6PUaeVUIMw8DPoUsm2DUJTiQ6XoDY+M7PmeZM4nY8gO2Ijko3LFhe2pHnTk1ec6OG///SOszKPY64fQ2i5cRdDeMfJC5E7Aj8uMWynkxcZZfadQhwPvXliJYTHXXeWElEKtM84k6hXm5p7VcN8kni96BJsTNRbgHiOHDUanV32+fESuJ9n15iLFK75hKlmO4j7hC8hObnS9IkuIFa8nfLKgMZYsOwzyvjGHkcGqGU8TlM4l3HgAl2TYYVRO1ogPWAdxRM91Fqt+E/gUj2PSdnunYS7E/IPL+L3stqDEJae/484gJDkeuJW92eRtTjLvKMkuLSeFsIfJdIgKyXGT5F3Gp7ahVBqXSfp72+HIpM4YWWMpTxPVxQUixSv8wm7kacTfxmv1JtOF05pfUk0ywljuU6LV8gleUlwIGZ/3chju8mtjWjlEgbrq1faRTDaxj2eWUcIx9fUixVKuNz+F5JsYwcE+yaFN8l6jhDdHZQlBw/EngXcTV0M6IVxsYN06QJ9m0p7ij40MzzbzIaLafSuuntdtDwZ6JzyKIk+xY9R6Rx9xyi05xX5Ix7N9GBlkbf7sAbe1zGpcR2Wd0r63uYtI5mNXq+COydPD+BWgeSo+TDdHa7+5nEOv7z/oSjCTKDuBP38UQ/Bv8IvAD4B+Iu1mZlX/LuXt0J2KHkGKVRk3Z23aqjyElV9T5vY8o5Ru53Z+rptnk/4FnAE6lvoNarTSjnc/jfEmIZSUXJQWncrAZeS7RKn0v0KvxE4spno88SLbg/n4xv7DH7iuTvGkSHBlc0jH8utat+DzA6nQClnUje28E8S4FPkH+1tttbvTQZXkjxDvxLxHqo8fDmEpbxzRKWMen8HjQJPko0lgB4GHhvhbH04irg2UQrsG2bTHc+0T9O2hGZ1I35RBL9ZcBTad5Z4LVNxq0oGO6FWU26tGRGq77MJlXV+7y9SlhGv46RFwJHA4cTuadGU8DJwNdKeK0nlrCMiT5XMMGuSXIFUVv8B0RLil8TG/L7cqa9GDigYDk3Ecnj+US99myCfR3gq5n/PwTc0lPUg5PG2WnnK+cVDG9WPkbaoGD4fwNvH2Qg6run9Tj/Eib8YK0kfg8aZzOBLwBvzQz7DNFp+6g6i+hgfjfiuHURcSJ9H3Ar0UqssRGI1Il5xDHXe8hPqi8nyi/8hLiL7P3Ul8FsdDrwzoZhpwHX9BqoNMJmAVsnz91mF6tyn7e4x/mX0J9j5KOAjxNJ9iIziNJcTyrh9bZuPUlTS5jwcwUT7Jo0/0VcFf0YcfvwX4AXEwn1Tiwh6gpukxk2i2jJvTj5/+eMTut1gD8BryZasBxN/oWHPHmlppYDPysnLE2Qs4BXYiu8cbNVD/OuJEoIdXLbqPL5PWhczSeO756XGXY28K/VhFOq1cBFyUMq0z5ECaXNc8atJsprfoj6i1S/J1qwP4q4k7fRL4BPEg2a5hKtKv+pvJClkbQPsT7A9DvfVa+qfd66Pczbj2PkhcC3ged3ME8Z9f2bJfJb8VwBa7BrMn2cSLBDXCU9hzj4yztQLLIk+ZvewrQu8GPgkOT/PxM9Wo9SovCnwO3EhvVLHcz31JxhnwLuKSMoTYy7iM6xvI14/HRbLmolsR09vcRYJpnfg8bRVsAZ1CfX7yAaTyyvJCJp+O1L9LmUl1z/K9FK/TVMvwPkAeBvyfM5TLeKaOW+IXFX70uxxa70uuTvXYxmnyCToKi8VSv9OEZeH/gDnSXXs3rpVLrb4ybPFRIm2DWpPkwcOD5CHCB+mShpcgTREqqVJcnfXYA3ETvLg5NhJxEdAj1UXrgDcS+xYXyIaMn+dVpfdFiPuK0069eMR6sxDc4UUVfuxqoDUV+c0sU8S4k6/f9TciyTzO9B4+YQoh7rYzPDlhMdzbs/kfKtD/wIWKth+EPAO4gavH8tmHcBsHPyvFUt6VFqZCT1y87E+TXAicRFKA2fbspY9eMYeR5xp9DjeljGmq0nKXR1F/N4riCNqLOIg7UjW03YgZ2JFuxTmccyIhHxXiLp90zgKcD+RPmUtxAbvqmGx/3A24g6WKNsL+ICwhRx4voP5L+nLYkSO9nP4NtMP2AflOOSGHat6PXH3ZHE53t2j8vZnenrTlW12q4G7qzotSfJdkTJqcbvvehxBr3XQhwX6Xbt6yUsy+9htGxOfA8nVR3IENiY+Cx+mfy/kChf0fibXU100li1LanF9KiKY9Hwm0Pt9zKIY9gvMH3dOY3mHQtCxPmrzDxv61+II+s1xGfTbXmLNyXzH1FaRMNnlPdti4nY200kzqaWv1hN7+v3HtTWv1HPNwyb9RmOY+RjO4gh77GayFt1a1g+h16kuYbjBviaj05ec8oa7Bol6a2ImwGPKXG5byCS6K8FdiKu+h1AcSenje4k6q2fQJRY2a3E2KqwjGj9dQTwIuJg+g7gAuL9rSY2pHtTu0L6f8B/AH8kOiWpwnrJ3+3x7px+2Cz5O4/e1r/tGv5/gOgxvsx1ul1rErfRVfHak+ZI4s6WLZpMczmxHTmVuLXc76W2XVuPcj4Pv4fRsVHy1++g1in2OsRv+ENECYpGXyCOR6r+vDbJPN+p4X+pUbZhynb09xh2LSKJm1oBfIW4YDWf4nVnY2L9Sluv/5DYR1S9rg2bdN86h+4+m/RYe/Mu5x8Fo7xv2zT5uy7txf4+4nwZ4nx6ZpvzFcmeQ416vmEYVX2MvAHwxh6XcQ3R6LOXuKr+HNqxIbG9XIeouHAv8d7vobaelHXu1I4t0yde+dIouYdotfQA8HCfXmM2kXRLE2+NB7nplcHV1MqnjHttwdnEZzGD+m1G+jmsSv5WbW3igPYeog6YyjWHOPm6j+7r1EH8nhZl/u/n+tzKesRv+q6KXn8SrUVsO9Nta7oNWY63zeZZQHxmS4htXFn8HobfTKIl0TLa73R8XKWfRbNWew8T+5NhMJPafu464gRQKjKD2sXUy8m/eFSWNah1YreK2La0OmZei9j/ZNc9j7XzrUXstx+kdQmdPHOT+e/vcv5RMMr7tlnEutpO7POJRkkQ+6676f18eTa1zjjvxFxev1R1jLwWvR8vlHlePWznCjOIbeQciuvMLyfe/7rENnRQHa7OorcOYqVK9KNETCtrEDvS9aivR74TtVtjeul1WuWxRMxoyJaIuYP8TrIGxRIxkobVKN9GX7a0REzR40eYaJDa8XpinbmQ1uWLFgHfYfr69stmM6knlogZbotpXSJmJvAl6teZj/Y9Mo2Dt9JbeZjrKLcxzjA5iriw287ncCeDLxHz/1kiRmpuBXHFudE9mecLic4dJHXmeMa3hY4kqf/OAl5JnExJam4rooXfC2h+B+4hwNeIi1tZaUeokqabD/wX8LzMsLOJchtSK720gF4JvILBtdgelIVEH3/P72Ce9fsTSntMsEvdeSjzfFyvFEr99pOqA5Akjay7gJcQt+tLam1t4Cqi7FierYGvAs/JGTcFvA64si+RSaNtK+BnwGMzw+4AXkxc1JJa6bYE60rgMOD0EmMZBusDpwCP63L+ojIyfWVHgFJ3sidzcyuLQhpdq4Dzqg5CkjSSpoDDgRurDkQaIQ8A21DrTDO1HvBZogZ8XnL9XiJR+MO+RieNpkOA86lPri8HDsV9lNp3dRfzLAVeSPOyRaNoHvB7uk+ugwl2aaCeRdR+u51Ilv8N+CDt14POdlKyRuFUkoosxQ6yJEndOR74ddVBSCPmYqJh0O+J5N9BwDeA64F3Ep3aZS0Hvgw8GjhxcGFOrAcb/mq4LQS+S6wb62WGTwGvAU6tIiiNrD/QWYmXM4m+zX7en3Aq9XnqL1h1agr4t5JikcZWGZ2czibqOBV1inA60Xt7K/Mz8zyhh3hUHjs5HQ1pJ6c3VR0IdnIqaXiNckdwZWvs5PReYMNKI5JG01wi6desg7iHgdOAN1NxLdsJNJe4U6DdBl+jaJT3bYupdXL6HKJ1et469M8VxafR9yTi/LTZNvqvwMGMb+fum9JbZ69TwCUDjzphDXZNmq8Cr2oy/inA14kOs5rJloV5uNegpAlyK9Ei6mtVByJJGkkfJe5AlNSZh4FnAE8E9gYWJcOWAvcAlxJlYlZVFeCEexj4cdVBqKX9ibIceb5ElFuSunEWsCNwILAfsAVROeE2Ytv8K7orJTNK9i5hGd8sYRnS2Ou1BftjiA1Uqyteq4HtWixr68z023YZj8plC/bRsS7DcdXdFuyShtUot/IrW7YF+x2Md+tOSRpno7xvW0zzHMKPGI7zG2mUvZPeWq9fR3ToXQlrsGuSPI/2dnoziCvTzWyReW4rKqkzS4kdoCRJnTgeeKTqICRJyjiLuAPe8xupNwt7mHcl8Ao6q2VfKhPsmiSbdjBtq9qeaav1e6hwBVadlQ1/pVZW4u9F0nByn5bvJ1UHIEnq2jju2+4CXgIsqzoQaQws73K+lcBhRJ+KlbEGuybJvR1Me1uL8fslfy/vMhaV7yvA9cDfqg5EI+NdRIfFkjRsbgXeQcUnCkNmNXBe1UFIkrp2K/B24IyqAynJFHA40eGppN51U2N+KXEHyc9LjkUaa73WYD+K9uo2rQC2arKcNYmyMFPA+7uMRZIkSa2lNdjvqzoQSdLEWsz0vIGdKUrl2oA43mu35voZxLopqUNldHLazkr6iRbLOSIz7c5dxiJJkqTW0gS7nVJLkqqymPqcwb20LisrqXNPIlqyN8vZ/RU4mCHrWNgSMZokFwNLKL7CNQV8GfiXJstYAHwgef4z4LKSYpMkSdJ09xDHb9+rOA5JklIfJe5ql1Sus4AdgQOJ0sxbEGUCbyNKNP+K7krJSMrotQU7wOupXfV6GPgG8F3gGGD3Nub/92TelcBje4hDkiRJ7ZlZdQCSpIm2mFoe4Q5gTqXRSJLUgzIS7LOI20nSneNJtH/S9p7MfO/rIQZJkiRJkjQaFlPLBXy62lAkSepNGQl2gC2J20vSHeSpwKZNpl8AfC0z/c8YslpPkiRJkiSpLxZTywfsXW0okiT1pqwEO0SHp9dT20k+CHwbeCGwJ1H+5bnAF4BbM9OdCKxZwutLkiRJkqTht5jIB6zCvgwlSSOuzAQ7wEbAT2jeO3E2Af8+osSMJEmSJEmaDIuJvMC9FcchSVLPyk6wp/YGjgNuZnpi/XLgY0RZGUmSJEmSNFkWE/mB2yuOQ9KQ8tYWCc5OHgBzgbWJW7+WAiurCkqSJEmSJFXuFuBc4PiqA5E0nEywS/UeTh6SJEmSJEnLgCdWHYSk4TWz6gAkSZIkSZIkSRpFJtglSZIkSZIkSeqCCXZJkiRJkiRJkrpggl2SJEmSJEmSpC6YYJckSZIkSZIkqQsm2CVJg7QAOCR5rFVxLJI0bPYA3gGsXXUgY2wv4HBgh6oD6bNJeZ+qWQd4CXBw1YGoZ48F3gY8qupAJEntmV11AJLUpZ8DW/cw/xTwmJJiUfuOB16UPP8CkUiSpEm2P5EQex6wRTLsJ8D9lUU0vnYFzk2eLyM+7zuqC6dvJuV9CjYhjqsOAp4OrAH8DPhphTGpO88i9gMHAVsmw07DdVeSRoIJdkmj6ofEicQrgDkN4x4iTihTc4C5OcuYCazuR3Aq9OSC55I0qX5CtDxV/z0p83wt4PHAryuKpZ8m5X0K9gS+BMyoOhD17JfEBRJJkqS+OotodXxk1YFoqLyN+F2kjx+TX/5qLaLF+ncy0zYm5iFuxXx0XyIVwGeIz341cHTFsag/noQn+lKnXkD9vmxxpdGMr82Ae4nP+EZgXrXh9M2kvE+FhURL53T7cVKl0ahbM4gW7Nl9we6VRiRJksaSCXbleSr1B6KfajH9LOCiZNrGGrczgT8QZUzUP7vQW3kfDa/9iYsnW1UdiDRiFmKCfVAWEHdQjXtL0Ul5nwofxQT7OJgNrMQEuySNHDs5lTTq7utw+lXAfwN3J8+zPgo8A1vf9tulwHVVB6HSbQr8F7H+uA5JnVnWehKV5AHgTGBF1YH02aS8TwW3IeNhJZavlKSRZIJd0qib6mKeLwLbE7XaU4cAHyglImnyzAP+B9iw6kAkSZIkSRokOzmVNEkWEZ3JvZ8oOZR6KVGbPW11uw1wWPL8FqKupcqzBfH5ziXuGsiaBTwNOJhoefdDYAfgH4iOvG4jOmr73aCCVUvrE3eFZDvVex5wR/L8t8BdDfPslEz/eKKMwd+I7/u0gtfYiPjNbAa8i7hA9nJgc+BHyWuo2EyiU+gXE9u6C4CDgAOBq4FvUPuOZibjHg9sSRwr3gT8hiih1Y3ZwLOI9fobwMXA3kRJoe2Ay4A/Amc0ib+dmDZJ3meeJcDlwD82DL8X+FUH72WQ5hFl0PYl3veVwE+BS5rMsyXx2e5O9DOyjPi8zwSu72ewJVqP+L73Az4I3AA8DjgAeCxxF9RPiO1GalviDrQnAw8S25ITC5Y/O1nWIUTnkJeW/QZK0uv+cFTep/pnW+L3sjdRi/9MYru5PBm/K7Bbwzx/A85Pnh/I9HKKVwJ/bRj2OGLbug2wNFnGbcnrDOv2dZTMIfYDzybKiZ1HrPdXNplnNvAUYpu5LdEgaQlRJvPPREt5TaZNif3Kk4DXEPuaZxH70EXEMcPxwD1NltHpcbwkachYg115HkP7NdgPTqY5KDNsn4b5Gx8/KD/kibQIeD1x4LWa+GyzybTdgP8Abqf22X8GOIYo5dP4vbx3QHGrtd9RvP6sBHbMTDsb+Ddqv4HGx/eJCy8kf18K/C9R4mCKSJC+ivrfxEPAOv16cyNuZ+CTRIIy/bzeRJycZz/3Y5LpdwWuSYatIhKy2e/qax2+/t7JPHdklvE64HTyv/8vECd6WZ3EtCe1PjayjweBDwHvAB7JDE9Lhg2DudTHvC+RPGl8L48QHaI2mklcfFqWTLec2nozlQx/P9M/32GQyRdDAAAgAElEQVTyWuAU6uPejyg9lfd7eSaRePpWwfjPNSx/b+ArROIvu4xh0+v+cFTep8r1fmrf98+IBFneenEGtbvNXkWUEsqO/1Jmmb/IGf/lhtf9FLXf5RIi0ZZOe1l5b2+iLKf2Gb6aWofF2ccyYpuZZ3vg3My0DzXM+1eiPyRNlrcRx1/ZY6i9iPW08fd1DZGIb9TJcbwkaYiZYFeedhPs2wAXMj3BvjbR4u37mWVcnAx7MtNb7qg7J5F/kpd6KnFilnewdg/1J2xpkmnzwYSuFnYmWr1kv5+XE+vPzpnpZhDJsykiCbo/kfT5FvUden08mf4g8n8PK3KGZZP4qmlMpBc9fkjcJXA9tRP37ZNlLKY+UdfY2rGZM5u85mrqk9152/BuY/pwwzK/nxl3MrXEz1YdvJd+a0ywZ09yT6U+sXo10xPlv8iM/1ci8TyHuPMj+zn/luHtI+FHxJ0UeZ/D34hW67dkht1L7YLKtcCPgSsy41dR+443I/psaVzuMCaee9kfjtL7VLmyCfZWjyuBtZL55gI3Z8Z9iXoLqL/Yk02wvyAz/BXJsBnAR6itl+pcNsHe6tGYZH8acVE53X88Nhm+DXHHS3a7sX8/34SGzu+Bh5m+/1hNNGC5v2FcY6OKTo/jJUlDzAS78jQm2KeIE+z08TfgTuqvtB+Us5x/y4z/dr+DnkDrABsAv6T2OeeVg/g99d/lfwPzk3FPbxh3RF8jVicak4OLc6Y5nFqCaKOGcd+h/mA/Hb8O8L2GZV8EPBr4GFHq5JcMb8KwamsSLcAbWxq9iTgJ/wPRku05wBsz489rWM43M+P+pcMYdm947YeAfyJaUM4ifhcrGsZvkszbbUwzgJ9nxi8jSms8L/n/LvJbZlWpcR1aRq1UGUQSJTt+98y4V2aGH5+z7IOpn/ctJcdepnWY/nt9VWb8Dkxvxf2uzPi51C7KTAHvzIybx/SLgcOceO52fzhq71PlaEyw/5oo+zCX+D3c0jD+HZl5T8gMb0ywQ1z8ykuwfzcZtpz6/fBMoszMTT2+p0nVmGB/O3ERbRPi7pTsuFuobRfWJBKlU8R+dduG5c6j/sL3dckwTY6nUv/7uZsoIwXRqCx7sf7Ghnm7OY6XJA0pE+zKk5dgb/UwwV6dd9A8wZ49cTg5Z/y1mfHH5IxXNVol2NeiVqbkW8QJXfbxoob5D83M++qGcc/oz1sYa0uofX5/LJgmm6T9c8O4bKL72C5eP9s68hM5499K/Xf8vhJi2pg4cUynuZS42Nr4+xoWjetQY4yzqC8TcGAyfB71rUt3KFj+qZlpljLcZZX+Ti3W1+SM/0tmfF7ZomMz4/OShdkW3sOceO51fzgq71PlyCbYlxDJ1qwdqW+9eltm3L/TfJ3JrlPZBPtvMsNf2jDPUUzvf0XtySbY35Az/tuZ8VPULpr+c2bYCQXL3rdh3o+UFLNGw/rUf/9PaBifPe5aTW070stxvDQx7ORU0rj5DPX1SGcQ9b8fB/wnw1USYBLd32L8Q5nnd+SMPwPYOnk+zAki1duZ6NwWImGWlzTLegrRYg7qfzNLiEThMHgK8IE2pz2H6R36DlL2M/xWwTQ/JpKzmxK10FObES2eUht08foPZp6fkzP+OOLzWZj8nyaJe4npVqLV37eT/9NyRSdQ+20Ns8bPaRWReF43+T99z7sAj0qeP0B9x59Zx1LrAHYd4uL06R3G9Aby67/n+SbFnYy28kjm+d0542/OPM/bT9yeeb5xzvj76b382+Np/zb4C4nkZ6d63R+W8T5HwUHAm9uc9lfEhYtxdxG1jkxTVxDb1LSUy4bE+nFrD6+T7Tj5B0Q/GB8lfnsnUL/tV3f+kjPsGCIRmt418Jjkb7YBQmNHtKk/Er+FtLTePr0GOOS2B77Y5rTXEHfYjbOHGv6/veH/bOOnGUSJqLvp7Themhgm2CWNm9XJI+tOombcR8i/fV6jw5O10bRd5vllRFmXZn5XMPyRguFV2Aj4xzanXdnPQDpU9Bk+TO2CwQyitMCRwHOpr/fdj3I8DxHlDNIWkOlt7b3G9B2izMqzM8M+WUK8VWk8MYb6fg7WyhmfOqXh/13pPMG+E+3/5vt5IWxZi/HZ33izz6QXj6L9z6KxJXFZ3B+GLWn/u/h7PwMZIlMFw79HLcEOkXzsJcH+LaIDe4iyMO8EXga8m+j7wmPu3uV9l1cTd3Y/Ofk/7Z8kuz9ott05hVqCfdeeoht+C2l/+3BBPwMZEUX7lbKO46WxZoJd0iQ5hWj5VtTCT1J/ZA/MTwQ+VFUgJfoLkUhoxyjVoX028GmiRdxS4LPEBYJ2W+t364bM88akaC8xvZ04GUx9klp5lXGQXbeaXci5m7hgMTf5f3EXr/U94Nw2p72wi+WPkotof/2/rfUk6sFvaf+7uLqfgYyAxvff652AZwNvI+4wSi90bkJsK15OXDRd2uNrKN/V1BLs6wBrUH+XbrP9Qba29kZEh9jD1IChTNfQ/vbhnn4GMuLG8TheKp0JdkmT5CaitICkwZqbeb5j4VSj5e8U1zgdRTOAzxEJaYhOQt9EdKD2+qKZSpQtY3NNiTE19tvyXKKjru93F+bQyX5uc4kSMkUJrTuI1r5QX2alXecnD8VvcJzW/1F2VfJQa40Xe8r43L5E9HHxTWrbF4iOE88kWg/fkDOfepMtG3UVkVB/mFqnpZtMmyN/3rsZ3+Q6RD8Abqt7N47H8VLpZlYdgCRVZF3i9rVxaskoDaslmef7UDsBzLMO8FVqtR41GP9ELZF9BvBCIok4KBtlnl9ZUkxpSZll1JdX+SJRf3gcXNrw/95Nps22Vm2cT9L4W5h5vozeW/TvQvSR8TuiPMnHiCRvamfg6B5fQ/my2/P/I0rJXJ4Z1u6+4LLCqaSaJZnnHsdLBUywS5pUHwH2J/8q/NycYZLa17gOXZt5vgnwribzHstgWkyr3rszz39I/e3l6w3g9R+TeZ52ztZLTIuodeh6BHBwZtz6xMnfOGhMlBfdCr+QWnJtikjISJosj848P5/oPLlRXr8FRZ1bf4paB94PAh8manpnE702ZOmP7HeZdoSa3R/sDWxTMO/WmecXlxmUxpbH8VIbTLBLGnXzu5jnQOCo5HnaCUs2cbMz6pc1Ms/zypS12i9Z2mw4NZ6kN65DFwAPZP5/D9EaOWsu8B9Ep5THkd8Zncctvcv7DGdQf1GksdOz7TPPF/T4+nnr8M7A05LnFwC/KCGmrxMlwX5DlIP5LfDtzPgXU590r9oaLf5vHJZ+jtdR39nYweQnw16eeX4co10XPNup7awW4/O02g8Ni173h6PyPjU4RyR/p6i/gJltdf486ter9YADMv9n7zaCKLuV/X1dCzwz8//6XUWqZrYD9k2en0Ls3wC+BqzOTJeX5FwDeEny/BGiDJsmR7f7lbKO4yVJQ+Is4oCwsZ6qJttriN9F+ji7ybQ7EC3XVybT3k7tRPytmWUsJ04m9iBunz28D3FPqo9T+5yX5Iw/PjM+r4f6kzPj/7c/IapLd1P7bn5CtHD5HLXbjz9C/bo6RVzg+jmRBH0oGXYjsHFmua/PTH8fJtm7cRO1z/Cfc8bPIGp5p9PcA7wZeAXxXWa/s5uJk6dOTsqvysx/CvWJ83nAaZnx+5cQ06uT4Q9S3+nbIqLETDrfHcC2HbyPftqG+vf01JxpsrG/JzN8MfFe03F/oP4keSMi6ZW+50HckdCL7LbktTnjf5cZf1zO+M9kxv+lYdxa1I4BpojfyrDqZX84Su9T5Xg/te/7fKbvK/+BOL6dAv6zYdyR1G9/TiA60DyMOA7OjrsdOITYjvyC/HOzTWj+21Vz6fc0xfQLwfOBXyfjHqa+JTtEkj2ddyX1FzsgWh6n4z9YatQaBVtRvz7v2TB+r4bxT8iM+0jDuHaP4yVJQ8gEu7L2IpLiNzN9Z38NcDrw++TvZURrvcbpftiwvMbxU8SJRbOOgtSejYlWTjdQ//m+m2iJsw6RSLkzM24Z8Mpk3kcl0z6SGX8/8Crqa0mqOtlkT/aR3ka6NlH6I2+a9HEntdbv6wIvIG41z07zNWA3LOXUjt2IW/izn98NRAvFzRumbUxap4/V1Pa/2UcnLaCzCfY0If514L1EAnQKWEHtzqJuY7odeB2x7Zgi9gFrZ5a3DvDdhnmuJBIQVV642QX4XkNcpxD7pdlEAv1DTI/7AGqJ9OcTFyGyJ72vIT6PK5NhfweeMoD3060tie189n2eS1x0mUfUzX8x9fuBe4h9y3rEd/0s4uJtNsH0KmI/sivwlYbln0+0BM3+TqrWy/5wA0bnfapcr6T+O/8rcAxxYfJYahdcvsX0uz83pH77kX2sJH/f/U5qCfaVRIJ/a6I+80nJ8EeYnsBTa+k2e4pIWn6bOOd5H1HSJd2P7p8z7zrAz6jfRv4r8CLqtwvHAmv28T1o+OwF/Ij69fjnxHHBLOL3dFrD+BOBxyfzd3ocL0kaYibYlXUazXfw7TyOaFjm8Q3j/0J960d1L21tU/Q4vMm4H1B/h0Hj46UDfB8q9njqE0L3EifcWWsRidWHqP8OVxIt6jbNTPtGmv9mDuvT+xgnqyn+/O5tmHYz4LyGaS4mks8ziAuV6fBbqJ1wtSObYL+2Ia7VwCXkJwo6jelfc97nOzLLK9qO3EcksatS9D2tIvZBZxaMn6K+ddmWREvmh5n+/k5g+FuuN/u9Hki0zC8a/wumX4TIPhp/R42PTw7g/bXrULrfH362ybhhe58q3wuJ9eQupm9LLqP58dIBTG+0siQZ/vbk/+uIO0SeSGyDv05sb+5m+m/tb9TKmKgzmxGf7WXU34kyRSTMf0hcaGvmzUxv1LKa+F5e1JeoNewaG6xkHzsQd7jljbsis4xOjuOlidOqRqE0TM4iOmw5imjBKPXDzkQLnAuIEw1J7VuXSLwuA86hvm+DrFnATkRS80bihO/hgmk1OLOI1q+bAxcSpWVSM4lWTquIFkzLOljuVdRuY38BkTDeJXm9vzI92T+ImMbZbGL92or47NPWkJImx+bEMe1DxLbzgeaTA5E824VIkt0EXEQkZbckLtBd2DD9GsAc4g6KTYhSVwuJuz+vJr8TVXVmDvGdbEwkOq/pcP4NgMcSx2MXAktLjU6TyuN4SRpxtmCXJGn0ZFuwP7/iWCRJkiSpVHYUJkmSJEmSJElSF0ywS5IkqZ+yHerZOa0kSZKksWKCXZIkSf2yNVGbN/W4qgKRJEmSpH4wwS5JkqR++DLwu4Zh7wROBr44+HAkSZIkqXyzqw5AkiRJY2kd4PTk0WjRgGORJEmSpL4wwS5JkqR+eHXVAUiSJElSv1kiRpIkSZIkSZKkLphglyRJkiRJkiSpCybYJUmSJEmSJEnqggl2SZIkSZIkSZK6YIJdkiRJkiRJkqQumGCXJEmSJEmSJKkLJtglSZIkSZIkSeqCCXZJkiRJkiRJkrpggl2SJEmSJEmSpC6YYJckSZIkSZIkqQsm2CVJkiRJkiRJ6oIJdkmSJEmSJEmSumCCXZIkSZIkSZKkLphglyRJkiRJkiSpCybYJUmSJEmSJEnqggl2SZIkSZIkSZK6YIJdkiRJkiRJkqQumGCXJEmSJEmSJKkLJtglSZIkSZIkSeqCCXZJkiRJkiRJkrpggl2SJEmSJEmSpC6YYJckSZIkSZIkqQsm2CVJkiRJkiRJ6oIJdkmSJEmSJEmSumCCXZIkSZIkSZKkLphglyRJkiRJkiSpC7OrDkCSJEmSxM7AccAy4KyKY5Em0QJgT+Bu4MCKY5EkjRAT7JIkSZJUvW2BJyXPn15hHNKkW1l1AJKk0WKCXZIkSZKqd2/y9wHg61UGIk2ojYBXAfdVHYgkabSYYJckSZKk6t2V/L0PeE+VgUgTag8iwb606kAkSaPFTk4lSZIkSZIkSeqCCXZJkiRJkiRJkrpggl2SJEmSJEmSpC6YYJckSZIkSZIkqQsm2CVJkiRJkiRJ6oIJdkmSJEmSJEmSumCCXZIkSZIkSZKkLphglyRJkiRJkiSpCybYJUmSJEmSJEnqggl2SZIkSZIkSZK6YIJdkiRJkiRJkqQumGCXJEmSJEmSJKkLJtglSZIkSZIkSeqCCXZJkiRJkiRJkrpggl2SJEmSJEmSpC6YYJckSZIkSZIkqQsm2CVJkiRJkiRJ6oIJdkmSJEmSJEmSumCCXZIkSZIkSZKkLsyuOgBJkiRJEtcCewErqg5EmlBXEOvg8qoDkSSNFhPskiRJklS9R4Dzqg5CmmAP4TooSeqCJWIkSZIkSZIkSeqCCXZJkiRJkiRJkrpggl2SJEmSJEmSpC6YYJckSZIkSZIkqQt2cipJkiRJkqR+2Rv4E7AauLHiWKq0ZfJ3C+C2KgORVC4T7JIkSZIkSeqXucAayfNtqwxkSJiLk8aMK7UkSZIkSZL65dbk71Jg/yoDqdBM4Nzk+YNVBiKpfCbYJUmSJEnSsFsH2BjYMPm7fvLYAHhU8nwhsACYD8wich4PAw8A9wP3AncTCd+7gTuBu4hyHbcBtwCPDOoNTZDlyd+VwF+rDKRC2T4QV1cWhaS+MMEuSZIkSZKq9jRgL2A3YEdgayJhPgWslZluCpjR51jSJPtdwNXAFcCFwDnABX1+bUnSiDHBLkmSJEmSBmUecCjwTOCJwOZEwjzNTzRLnk8lf1dnnqdmZOadQX0ifirzt2i+7OvOSf5uljyelhm3AlgFXAucDvwW+EmTmCVJY84EuyRJkiRJ6petgbcQtbd3JTq7bGyFPpV5zCDKaawGHgKuSYYtJUq9pOVe7kuGLSXKvdxLtDi/M/OYCWxElJBZRJSRWY9oGb9u8lgHWJsoLbN2Mmw10RlnmmjPxrZmMmwXYGfgDcnwR4BLgJ8Cn6NWFkWSNOZMsEuSJEmSpDIdCbwMeDy1hHS2NXmarF5FJMj/TrQIv4ToCPKPRCK9V6uJuuq39LCMTYCnA3sQCfWtiVbtC6i1lIdIxu8F7Al8goj/T8B3gR/18PqSJEmlOYs4eDmy6kAkSZIkSXXeRNQrX0athMvq5LGCqGH+E+DDwHOotQ4fZRsBLwY+DfwvcaFgFbX3n34GDxMXDp5bTZiV25b4LO6sOpAKzaT2m1in4lgkSROsygT7AqJ3ekmSJElSeAbwZ2AltaTyCqJcyoXAMcD2lUVXnX2ArxIXHNKa7Wmy/RHgRGCryqIbPBPsJtglSUOiqgT7fsAdRJ2/HQb82pIkSZI0bI4gkqVpC/Up4Dbgi0Qnpqq3PfB9om58tmX79cCTK4xrUEywm2CXJA2JKhLsryZaHKQ7wosZj1sZJUmSJKlTbyI6Hk0TxNcCH6w0otGzIfB14GZqn+MtwL5VBtVnJthNsEuShsSgE+yHUbuVL/v42IBeX5IkSZKGwbOI2upTxDnSd6sNZ2xsAZxK7S6A2xnPBl0m2E2wS5KGxCAT7E8AljM9uT5F1MybxDqCkiRJkibPZcR50APAP1Ucyzj7LNEZ6hTwvYpjKZsJdhPskqQhMagE+7rAdeQn19PH//Q5BkmSJEmq0t5Ea/WVwPMrjmWSfJQ453y46kBKZILdBLskaUgMKsH+BZon19M6ebv1OQ5JkiRJqsKexHnPH6oOZILdQHwH48AEuwl2aazNrDoAachsR3sJ/BnAB/ociyRJkiRVYSFxzrNf1YFMsC2Bx1UdhCSpNRPsUr33A2u0mObe5O8hwCb9DUeSJEmSBu53VQcgAC6sOgBJUmuzqw5AGiKbAi9rMn4F8GXgGOByYGPgDUSNPEmSJEkaZTOALYBHA4uABcA8onPTy4HziVKZqs6WxPezAbAmcAdwEXBrlUFJ6jvXfUml6XcN9ndSXHP9JuDJmWm/nwy/rk+xSJIkSVK/zQdeDpwM3EfzfqguJhLwGqyFwIeBqyjuH+wXwDZVBdgGa7Bbg12dG4d1X9IQ6neC/XTyN1pXEK3Vs47OjH9Sn+KRJEmSpH6YR/QpVZRUXwb8AHgh8HzgnGT4b6sIdoIdBdxD8wsf6eNWYHElUbZmgt0EuzozLuu+pCHUzwT7HGAl0zdU1xGlYxrtl5nmi32IR5I0fBZWHYAkSSXYB/g7+YmaVcDxTG+pviCZZ1XyXP21EDiJ9pJr2ceJVQTbBhPsJtjVnnFb9yUNoX4m2Pdk+gZqObBXwfTbZqa7og/xaHhtQNQ/m1F1IJIG6nnENv/pFcchSeqex3GwL/AI+Qma84DHN5k3Tfps2WQaP+PerU/Uu+80wZbeebBGk2VX9f1sCVxLvK9JNZP4DK5lci5SuT3oTK/r/pwmy/a7kPT/9TPB/nKmb6A+1GT6RQ3TbtaHmDRc5hH1zdLv/P+AnSqNSNIgHUWs+5dWHYgkqWPr4nEcRPLmVqaf9zwIvB2Y1WTeBcAtRM3fvOTgXPyMyzAPuJDuEmzpY1HOcl0HNEhz8PfWqTLW/c1zlut3IWmafibY08RJ+riJOEgsslbD9If2ISYNl9czfQd2Gc1PRCSNj3Q/cV3VgUiSOvafeBwH8AWmfw6nEXfnNjMH+BXN7959Vc6yJ/Ez7tWx9JZgW0X+Z160Dszs31vRBDsYtwedKmPdz7t75cU50/pd9MHsqgOQhsTaDf//G/Bwk+kbk++7lBuO+mQG0fnHzkQLnnWA+cD9wEXERZzVBfPumTNsJ2AHYgelcm1NfE8bAWsCtwHnEhe/pCo9quoAJGmCdXt88IKcYTsB2wBXlRngEJsDvCHz/3Kik9PPEQmXIlsAP6VWOubkgun2yBnmsXJndgfe2OMyLiMSbY2K1oENibsapCLdbHd3zhnm9qDYJpSz7q/IGb5rzjC/iz4wwS6FbB2q5cD3W0zf2CmJt9gMr/nEAeXLgKcy/WJK1iXAc4kOnBrl7awgap2pHAuBo4HDgUfnjJ8iTuqOJmoXSlWYT9QvvKHqQCRpQpRxfFB0vLa85+hGx+5ECQKA64FDaF0P+4XAfwDrZYZ9u2Baj5V79+YSlvHNguFF38PKEl5T46fX7W7eRR5we1DkCSUso2jdL1rH/S6kCdbPEjHvpXa7zC/bmP5p1N9i86c+xKTezCNa5dxH/i1Uy4AfECcOzwfOSYb/tmB5ebdWndq/8CfOUcA9tHf7263EnQjSIGVLib2y4lgkaVKUdXzwsZzpJ+047v3E+76Q1ndjLQK+w/TPrNl50gtypp+0z7hXf6O3EhHXUdyYyHVA7Spju3tAzrT+3oq9lf6t+8/Omd7vQppw/Uywv5PaxuZ9bUz/Fuo3UBf1ISZ1bx+iFXpRbbLjidtdsxYk86wiv+OmWcAngNuJkjI/xFIRZVgInETnBxEnVhGsJlo2wX5SxbFI0rgr+/hgDTyOO5v4jA5sMd0hRGemjZ/tg8D2TebzWLk3z6K3BNsK4hyoiOuAWilzu+v2oDM/pX/rvt+FpGn6mWA/ktoG6tltTN/YouPSPsSk7uwLPEL+zuc8avUj86QHFFu2eI0ZLcarPesTtyZ3cyCxjKgBKA1KNsG+jKhDKUkqX6/HB2u1WP6kHsddRHxGexeM35oo+ZD3ua4GXtrBa03qZ9yLN9Fbgu1FHbyW348a9brdbVZ+2t9ba3/AdV/SAPUzwf5qahup3VtMO5O4+pfdsJ3Zh5jUufWJ29QadzwPAm+neU/ZC4jWOqvJb8Gucs0jblHu9kRiChOcGqxsgn0K+Eil0UjSeCrj+GDTgUc9Gs4jPp+DGoavB3yW4gYq9xAlFdVf3SbY7wWeV0G8Gh9lbHcb+6hTZ07EdV/SAPUzwX4ItQ3V4hbTPp3pG7eT+xCTOvcFpn83pwHbtphvDvCrZPor+hifao6lt4O4VdhRtwarMcF+K61bSUqSOlPG8cEaA496NPyG+IyuBw4lEu3fIEoG5H2Wy4AvEQ1Y1H9pgv1h2v+9n4H9Eql3ZWx3mzVkU2ufo7PP3HV/CJmc0CjZJvl7KFEfrExbZ54fDdzZZNrDcoatS3SoqeqsQf3Fl1XAKcTOp9ktresCL6fW2ulO/C7zbErU3byD3ksibQK8scdl3AG8p8dlSJ1ovKV+I+C/gXP7+Jo7EOvLVcBNfXyddswmtqXn4YVIqZm1gCclz0+rMI5RVNbxwbtLiGVQZgJPS57/ibiTsl8WJX+3JGrw5llJ9El0CfB/wENE4letbQzsSLT476Z/rickf88FdiXuLChyM7F9uZw4jxk36xPHWQuI44/7gRuApVUGVbEFwJ7J81Mpr9RHWdvd95YQyyTbI/l7P8WdlcL4r/vDYBtiP3k7cFnO+D0pqHhggl2jZEXyd01at0juVPaWpkcTSdc8C4Cdcoav6kNMw2ZTYHPis1mD+D7uI1px/p3+nhC0YyNqLZYeIOqY3UXtwkyexcCTqW+Fegfj/112YyciwXgrcQtxL57cezhcj9+TBmuDnGHPJLaDK3LGleGJxIWt9ai+M+1FROJgNv17v9I4mA8ckDz/e5WBjKBJPD6YRe33cguR4O6XNCFwOnHMvFbyeiuI1ur3Jo+pZLpN+hjLONqO6GjwTuJcpFNpp4OzgF8Q512bEtuUtGX7vcQF9/uSaZud54yaNYGdifW3qNzI34FziCTkpFmf2rbiBspLsE/idncYpRdAzyYuvE7Suj9s9gR2A64j9o2N9qX2fUkjq58lYtYikuRTwIubTPc98m/RWdyHmIbFfsSVuymi1cAPgM8A/0PtFsbbgDdUFWDi35JYLqJ1r9iLmN5R7RTwy34GOOLSjoDPLmFZV9PbbYjX0fzKvtQPjSVi0sfH+/iaxyWv8fU+vka7diVi+XbFcUjDbktq24dWxyOqdxWTd3wwh1r8u/b5tb6avE5RJ6fqzWuonYt0Iy0Rc0RpEY2Oo4iW/+2s57cy3ufeRfag9hmUlVyfiedlw+IY4vP8h6oDEZ8mvouiO70upmB9mDmQ8KThtwxYkjzfoWCaPci/Def8zLxlW49SH9QAACAASURBVER0pPcVokXEoL2LKLOyE3Gb6PbEZ/AuorfqZyfTbQj8O3EBoqqeqdOd0T8TrdCLHEJcMHhlw/CHgHf0IS7V25zeWjisBF7BZLZc0XD6Z+LOJ0lS9+bS27bU4wNp9CwETiLOddstAbsRUa9avXs9npdJpTHBLtWkrQ3yWo/MAv6D/ORx0ZWtMuwKfJi4qn90H18nz1uJq3fpduIooqV61pXUbiMFOJzBx5lKy7zcUjB+a6Iz2hOJGolZU8DriPej/sors9GulUQfCKeXFIvUjcaSD3OITuIkSd2b38O8Hh9Io2d9oqTn87uY90CadzS/CXHBrqqGX6Oil7us3O5KDUywSzXnJH/zbps8Gnh8zvD7gf/sW0T1dRgHWfN2L+Dzmf+XAH9smGZX4qCo8cClqgR7+vls2DB8PeCzREcgz8mZ716iLFA/L5Sod0uBFxKliaQqvZ8o3ZJ1AHY0JElV8PhAGj3zgN8Dj+ty/jXJ7wR2XaJ+/c1EyalLyO8/Tb1xuyvlMMEu1aS1pbeivoXzY4BPFMzzDSJB2y/ZpPryPr5O1gziNr1ZmWGNV6YXEL1X5x2wLKagV+U+uyv5+03gUOAg4vu5Hngn01s5LAe+TLRuOHFAMaqmkwtGZwK7Az/vUyxSp94I/Lhh2OexwxtJ6lUnnXx6fCCNps8Dj+1h/tXklwT9LNG6PbULcZ43K2da1TzcwbRud6UCJtilmrOBR5Ln+yZ/5wInkH8L2q0UJ97Lkj3JGFSC/VDgiQ3Drmr4fyb5rQYgYu7k5Kgs1yV/FxOt0X9OdBaUTfY/QrTEfwvRM/fR1BLzGqyTgWtaTHM+UTN/H/rXz4HUjdVESazfZYZtCHyqmnAkaWyci8cH0jjbnWio0IvLyD/ffEHOsJ2IUqEq9iHc7ko9m111ANIQWQacBTwDeBbwI6L8y84F07+NuD2qn6ooEfOWnGG3Nvx/H/Br4B9zpj2Z2oWKQVqV/H05UU9uEXE1finRK/2lRJmYVblza9BuI0rzHAjsB2xBJC1vI76nXxG92kvDajlxe+yfqLXCej3wLWolxyRJnbmHaOji8YE0nt5cwjK+WTB8WcHwQTVUG1VXADvidlfqiQl2qd7vqCXY305xTd1fEAn4fht0C/atgKfmDM+7bewI4LfErXepS4E39CGuTlwM/F/FMag9K4GTkkeRJwMvBb4LnDeIoKQO3Ef07XAOsDlRYuuz5G9HJUntaef4QNJoelaP8y+hOMH+LeCDDcNOA27o8TUngdtdqUeWiJHq/Sr5uzmRJMlzB5FcHoRBJ9ifUjA8r9X3zcAeREmZDwAvIzqCvb0/oWlCvRv4J6IjpPUrjkXKczNxy2x6l9E+wMHVhSNJkjSUFhHlPLu1EngFcH/B+I8DnyTO1x8gGsS9pIfXk6S2mWCX6l0A3JI8L1o/jmBwSeRBl4h5TMHwNQuGLwf+m6hFfwLFt+VJ3fpa8ncdorNaaRj9Bfhw5v9jqgpEkiRpSM3vYd6VwGHA6U2mWQG8n+gXZx3iLti8zlAlqXQm2KV6G9I8kf0FBttjdjaWQbRg36FgeF4nr9IgnAL8OXn+WmCNCmORmvkMtfJUOwPPrjAWSZKkcbGU6PfmfzqYZ6pPsUhSLmuwSzVzieT5lgXjzyTKVQzSoEvELCoYPg94evLYGniQaA1wIXAGloVRf6U1rTcCDqBWykkaJiuJvjtOSf4/GvhNdeFIkiQNpZW0n4s6k+gXbUnfopGkEsyoOgCpAzcDmxAtBJeUvOwZwJ5EAi/PI8TtaI+U/LqtrEmtI5jLgGv7/HpPBdbNGT5FfEZ3E2Vg5hO33aXjbgeuJFoXVOUxxMWRP1Jcl0/dWwzsSlxYOaeH5awDPA24HrikzXlmAM8k1odO5ivDfGBt4i6OmcTv/x7yO/4dNeP83vphMbEOXADc1GS6vYENkud/AB7q4TXT7Vo/9nudWhvYF7iRuLgqKd9cYP/k+c+AWX16nXHbhqfHvLcD51YcyyDNJDrLhmjo0887zHcl9mVnEL8VlWsL4LHEZ3tGF/NvBewGXMz4dso5h2gscxexrZzXZNqlwFXArQOIaxSsS5yrA/yypGVuR9zB/hfgtpKWqe7sQHwf52BZo6rtBGxL5B/Pzxm/L3H8NY0t2DVK7iMS7JcAp5a87JdTnFxfAXyOSOwN2lxqCfaLiWRNP+1OfoJ9BvAV6hObexMlO2YQn92jgJ9SXYvNhUQi6jSaJ7/UnWcQJ2b30VuZpC2oJdg7Wc584g6K9E6TfppHJEeeSJSNajRFrAs/YvQOgMb5vfVbug5cAJzdZLqriJbsECfZvWwT0+3abQy2PFmezYgDyr8PQSzSMFuPWoL9VHq7yNZonLfhC4hj3mHY3g3SGtQS7OfS37tC5xMJ9j/T/0Y7k+gpRIL9Abr7De9LJNgvpHmd8VG2iEiw/x04lni/2xPHO1NEI6lbiYZlo7YN67ctqSXYf0E5JXCeSyR2zyFyDarOC4gE+9nApRXHMunWIBLsN5G/LX8cBQn2dswkDuC2orijw3UpLqshleUsYkdyZMnLfXuy3KLHK0t+vU7Mz8TxxgG83unkfwZFLYnypn9136PMd1zy+rtW9Prj7kji822WWGzH7slyju1wvpdQ+43lXQQqy1FEUrTZNiF93EqcqI6KcX5vg3AU8dkc3sa0VybT/q7H10y3a1/vcTll2JWI5dsVxyENuy2pbUsfVeJyx30bvgERe1ktM0fFHGrfW7+PYb+avM7efX6dSfUa4vO9qMv535TMf0RpEQ2fzYn3eFLVgYygPahtK8qqRPEvyfIOLGl56t4xxHfxD1UHIj5NfBc/LBh/MQXHX0W3oD0J+CLwN6Lu823ErckPJ39/D3wDOJRY0X9DftN5adgdSNR3bqZZp6f9Nuga7PcVDL+gYHjenQSfpVY+RipLNrG/fR+Wv5A42P9K8rwdGxF3twy7cX5vwyrthOuJWI5PUm/chkuSJA25xhIxjwa+QP4VrIeIRONWyWM/4ipratC1qaVe7Qj8gOJah8uJuzYOAk4YVFANsgn2QST6lxQML6p9d1XOsPWJbch/lRGQlLiBuG10baJUxV9KXPb6RMeUj+ti3gOJ1mfDug8c5/c2zNLaqwuIC45V9k8haXT1ug1fi6jNnmcT4k7Jayin1IAkSdLEyiYW9yfKQGST65cS5R52IZIaC4GNgbcQHVNkzcFWWhodC4mOp4paWv+MuE0Hoh5kPzscamYVtZOeQbRgv6JgeFH90KLaeE8tGC71It3vrFfiMucRd2V1k7yAuAi3QcupqjHO723YXZl5vqCyKCSNsjK24Ytyhq9L1O+9mWgocQnRoZckSZK6lCYN9wB+Tf1B2E+I+mzfITqZWJ0Mv40oD7Md08tDNOsFukofIjoNGBbDFs+kmUW0SC8qM3E2cBi1GpDrA3sOIK4iacv1xgT7LMpP3BSVgllVMPzhguGblBCL1Oju5O/cEpf5eaJDqm6tJvaLw2ic39uwuz/zfI3KopA0ysrYht+ZM/yz1Deo2gU4keoak0iSJI28mUSZmOOoLxfzFeBFRA/YRe4BXgxclxk2jAn25wIfAZ5RcRypYYtnEv0rxZ1HXE2UhHmY6ME9baH97AHEVSRNrK8gEtefBC5P/r8fuBF4L5Fw79XZwL0dTO/JmAZpTvK3rJIlO9F758GXUW0/DUV2Y3zf2yjIXvwsKs8gSUV2p5xt+Mqc4XmNfHYCtu7x9SRJkibWTOAd1N96eBfwAdqrxXcXcHjm/2FLsC8GvsfwlK5ZzHDFM4meDry7YNw9wHOotfaZIm7NBTigv2E1lSa4DiHKDryXqB+f/o42I5Lu3yvptU7MGV6USC8qsVNUs13q1ixqJ/+NJcq69bISlvHNEpbRD68tYRnD+t5GQXbbaIJdUqfeXMIyirbhRdukQZQilCRJGkszidbUWZ+m/tbmVs4EzkueD1OCfQPgZPJrD1Zh2OKZRLOBr5J/gWMKeCXTO+1ME+x7U93vOz3heS3RgvfzxN0jX2yY7jCiz4Re/RvTS8IUleRYWDD8zyXEIWXtQ+13mNe5bjf+scf5lzC8Sejn9jj/Eob3vY2CzZK/UzS/G1CSGs2A/8fefYfLUZb/H3+fc9JzII0QagiQAAm9g3SkKKg0pSgoCIKSgAX0qwhItQCiVKUK2ECKSBHpoYbeew0tAQIkIb2d8/vjnvnNs3NmtszO7Gz5vK5rr52d+kzZ2dl7nrkf9qhyHpOJP4dfHtFvIvBelcsUERERaVntFAbOpmMByEpd4L3HBeFWA04ArsMCIx9hF3LnUJgDMFy2rbEg4lvAUV7/rwJXeP3eBW6kZ+M/awP3AeOcfjsCF3mvn4fG7wS+gwVT/YDq7lge+mlYg5crO+OvC/wZu7nwAVbj+WWv31oR61JpecByfv8GuBOrDfwmcBMwgejaxNVsr7Ak+8tX6baspSOxfRHlDIKc6657vPc+5Ndwp5ui4ZvAMdi++THwt9C4UcdSpV4Hrgr1Gx4z7roR/WZgN5NE0nSo9/4pdr5NwzpVTLsYOIjKbkjX0upVTFvv69YI/N+aD1CtUBGpzEhgRBXTlzqHn4r9x5iG3QC8Bti3iuWJiIiICFa7yn/dn8H8D8Uu8LqBz4EHsZzR7nKvwRqS9J0LTA2N8yss6Ncd8ZqL1TD23RYznv+a7o23ExagnOMMewILXIanOdmb5mSn32TgWixw7febRc+gY7nlAau1ciwWVO323peExn+Qwprw1W4vV5L9Bcm2ZaUmedOPTzDtMlgDiVHb434K2yAIm+yN99sEy03Dm97yX4sYtg0912fFiPEqNQwLDPnzvC9mvAcjlp9k/6ThUm/51QRNJd54bPs+UuV8NvDm8+cKphlHcE68qMrlu+ZT/Nwc91qEtVNSz8K/G820bnmZgG2jA0uNiP0edgN3VblM/7x2YZXzScM6WFmuyLkcIvVuJME5Na6CQjGjSXb+TnIOr6e0lctg6xBV4aWZ9SPYf1lfw57vLSfuf6BU5xBs+z6bcPrve9MfllqJ6s9K2DremHdBGtBGBOeKtM7dx3vzK1WJUrJ3GrYv4toKlNo5A9sXV8cMf46Y67BwTei3Ui7Ymdifw04sELcqVst6JSzFhd/wzr7AU8Ag7/MsejZidxJWG+MDLMD7mDOsP9ZwpW8fYCjwqtPvr16/oQR5fI/B0mq4qT82Bs6KWJdlsJrZJ3qf38Vqq38DWIXgR6ITOC40bbnlAWtg9kxgJpZzu583T7dMW2FfQF+128uXdH9B5duy1k4jOj3Pp1i5oxqB8t3rvefVMK1fg/2FiGGvRPRL8mcu7FPsh/Yz7/PW2FMVrt2xY9F1JsETLSJp6IU95t4L++E6L8V5J2ksdSZ2Tr8uxXJkodg5LU6jrFsj2N57fzLPQohIS0lyDu/OqCwiIiIiLSUcYH87xXlvhNVeBksZsTuFDdNdR2EjbCOxOwVgjayuDXSF5nk1sAawP7Al8D9n2I4Ewd25WK1wN4/0dOc1w+v3ZSzoGs7n+wL2aOa+WABzCnAlcIQzzsMEwZluCi9mvxaaX7nl2YCgUaMjgX9708zDGuZ074Z/HxjjdVe7vaC6/QWVb8taWo0gvUTYkdhNiGImeu8bA2OxxmoHxY2cAT+9wNyIYX0j+r2T0nKfxmq4PIydKyZiN4bOBG7G0v34nsUaiI1rQFYkqT8S1LT6J9E3mpKaQWXBhYex8/RNKZYhKwvo+ZtQTCOtW71bm+BJook5lkNEGlslN0p1DhcRERHJURuFwYWjSJaDPcqjwGZe9+nY4ydRniLICe4/subXtp6M1Q4HS8USzg+4F5bb2zeOwty8LxLkPT8X+GFMGdzcg11YEDUqHcd9wLZe998pfEx8NIXB5aEUpn4ppzx3AV/E0r2sELH84yiseX4k8Cfn82SSb6809heUvy2TmI41qjmbymqedmJPAoQtoHiO4TYsgN0X6B0xvAv787PQm1dWtYAGY7V3o8rbB1ja+bwIq8GUpnZvOX2wbeKfN7qxG0ALKcwTnxd/P4dvZkk6/KdpKv3+hfXCjun5lG78cQDBjUA/nVYlQeNShmDHdxfQUWS8xdgNrkbKpT2M4HvabOuWpQ7v1Y6d67qw81sXwXdgFnY+jtMfGOh1f0p1vw3+ee1d8m9IvgP7zpT67RRpde3Y/wCwp4OXLjJuFP+7tsibV6ucw/3tthBLU9kq2ghSb75Idfn3S/F/U2aQ7Ek3Kc6/TpiHpU1NOn2119r1rFW/52nw/0MBfEx0u3yV8v9rfU5z/I40Mu2L+jEQ+z8X95/Hj8/1EO6ZVuOTyxAEa8GCt3EuIsjF24bVrPYDtu4P09SIacM1dYdGjFOOGU73y8QHhH+BNQo0i8IULWC1pF0j6BlgL2YwFlwHWB6r6R0WTq2yFYUB9qTbK639BeVvyyQmY7VzziU+H1JYG3ZjJBxgn4ulQPkkYpoOLIfewdhFThw38NyO3XS5mOKBlyT+BqyH3YD5RWjYuQSpCACOBh5KabnbYzdx/IZ7Z2Opg6Zi23MVbH8MwvLEX4y1N5CXk7C0SocCb+RYjma1P3aT723gW1XMZy3gX9hTEKfGjNMO/DS0nItIPw/1rcBS2LG+vle2IQRtUEzFasx/nPJya+Fh7DfoqzTfuqVtKeyG+e7Y01lhflsdL2FPmf2G4jmC/4OlWHsYe9qsGidh57VJRKd2q6XR2E3624m/CS8idh1/u9d9MIXXxuUYiZ1j7sYar2+Vc/hg7Fz7CNbmRavoCzzudR+PXVNn5Tjsem4ClkNW0rUncArwHsnas9kXOwbOorBSXDMZAdyJ/V+Nq/wo0cZilRkBdiadyn2HY+eDXxLf5prUxlHA94D/I714jiTzE+z67V6iMzRcT5BNpEA4wL5GSgUaF/o8r8i4N1DY2F0ljbtkcWe32DwfBrZzPg/EAkCHY+lDXJXeUQzvoKh8+OF+laYCiVu3rPZX2vvHn98U4Pkyp1mR4E6v63cEudXD41+LpdSpxADshLgDFgwpt3zl8GukzwjNdxsKj8crqazhyDgdwCXYTQbffdiFYviGxECsIZ5TsG26CZb7P+2bDOXwb2i9TrppRMT4T+/Mpbrj26+J91nMfAYC/6Aw1dYj2EV42nfzF2JPOzxL8gap6pX/dEkzrluaJmA3eqJ+J3xt2Ll2I+/ze8R/B7YkaFflkiLjlcs/r8V9X2rJ/yM3nfzLIlLP3CcJXwGmVTi9fx0+k9Y6h/sViWbRWucYtxLQG2R7Deun/3yT1trGteK3VzWfZNvXb9vqg4TTNwL/uuZzmncds+I+Uf886QTYP/LeJ6P9kTf/hvlktC/y5l+3zSR6X8TGOcMB9jVTKtDY0Odij/RPwy4k+8dMW4+WAY7FcrIPBt7HGuGLy/NdDjfAfi9WM7xWmnl/jY7oNwfL6xy2LHAP1d1oGo3diNkNeKCK+bj8oKL7iPAQ4HKCFsRvp7CNgGpcit2x832M1ciIqoE1BzgHq4nwANYY7qcEbQmIVGIVrPbv+k6/adhxpUflJE2DgSuAPSqYZqkyxvEDRHNo3tpnIiIiIiIi4gjXsl6d4nn+yhXOE7p8ifHddCj1HkTZF3gVe3SjHRiPNXr56yrnu6LTvVbsWNlo5v0V9bj/1fTM+daGNeSaxlMcncB/SW8/+vnN+3jvS2GNWPk3D/6ApbtJo9b4XhQG18FS1JR6vPkl7DsBVpM/rXRT0jr2xtp4cIPrC4H9sJuYImkZht1MrSS47opqk8N3M/a0x4Yot6iIiIiIiEhLCAfY+2BpJ6r1aujzqBLjuzWmX0ph+Vk5Ast7NRSrVbkBlhM4jQYV3dQby2M1lEsZWHqUsjTr/gKrlR52RUS/71P82J9L0BjQHEo/ktWJ1V4slsO9XP5NjCFY3rp7ga29cuyP5YhKq6Gi/4voF9UeQJTrvfcO0jmPSGsYDFyFHT9uOxrdWJqiqFROIkkNwPIab1hqxCJeKTH8AQobPRcREREREZEm1k7PhlR+nsJ8Xwx93qvE+G6N6fC09WJ5CtOKHIM19peW8H74cYnxx2KpO6pJS+Nrxv3lGxT6/CGWwsXVi56Nh4LlXDoda2B0KWe6G4GlsTQ+VxKfs34s1khNtfwa7OOwXNQbY/k4NyZo6CQNA4HNI/qvW+b0nxPceCgnlYLIbliu0YMihv0My8UukqazKXxKolJdwBMplUVERERERESaQDs98zbvSmHjhuXYEmv062jv87tYINO3MfGpN1YjqOXbTXatF/cvPUpRu1HYCE04ZUGl8w+PHw6wH0t0ehOwmsx+YPXWCpcbpR73V1r6hj7fRM8c87vSM6XJPVhe/OOxhg26gMe8YRsBs7GatQdjgfTbY5Z/KJZ6qRp+DfYR2NMFFwBb0PPJg2oNi+l/AFZjvpRRBDnh6/3JBsnfPtj5a8WIYeeQzs0pEdcYqm+r4iWCm54iIiIiIiIitGOPSv8l1P8irJHCcAqZsA4sB/m9WJDET3PSDfw0NG5U6gmw1By+K4Annc/hRljDwkHqttDnOU73KKd7MIUpWNz17EO08B/qnUOfw7W+o1KTFCvPXAqD1f2xhiO3otC6wP3e+/kUBsaTbq+09heUty1rKXxMPBgxzhdDnycBXyZoPdj3qPe+JoV569/xxj8/Yt69sCB9Ndwa8mcBEyjScnEVpsf07wPchdXyD9+wcO3tvb9Pz6cERMKWien/L0o/wSOSRKmns8pxWQrzEBERERERkSbiB0OPwQLtvt5YbvHHgS9ETDcAa+zzKSyo2BcLtLuP8/8NqwXs+y5wWGg+mxMEbD/DUgL4OrAau75REeVYNfR5ROjzVKd7eyxosyvwHIU3FVZwukcSHRgONyA5ATgDOAl4Gjg1NHw8cB5WS7Pc8oTT86yBBdMfx4JOD2GpQdYBnsHSl/iq3V7V7i9fOduylsKNsE6KGGdtp3sxVis9qvFWP8DejuXfd3UDRwGXRky3F6VvfhRzDvZ9/B7xNz7SMAt4I2ZYX6wh35eAPSOGDyR4guUPpNMugbSeScC3Kd3GgUgS4fN2pSajALuIiIiIiIiU8D0s73R36PU5lvv531jjXXOcYW8Au8TMb1ngv864C4C/YsHbk7GAXjcWtFvPmW4clifVLcNC4DvAKliqlp2w3L3uOE9itZH9VC5HRqxLN5a7fE1gM+A0rHa6O/xfwHYU1kIfjgWVo+bXDfwZmBHR/xxnHqXKA3AKlo4kbjndWANrbtnS2l5J9xcVbsukJnnzHF/BNL9wytKF3YgIe9IZ55YS85vqjTchZng/LKVMeJ9tW0GZ8/Rjih97/utOCm9M+Mff01R3M6Eal3plWCen5Te78dj2faTK+WxA9DH1CbBSlfOu1BsUNjDdTGYQf8OsVd1Deee3qNciykuVlTb/vHZhDssOWwcryxU5l0Ok3o0kOHcMTzD9aG/aq9MsVANYhvKuxZtNP4LjJetr2PO95WyR8XJa1SHY9n024fTf96YPV3JrJith63hj3gVpQBsRnCvCT+kndbw3v6+kND9J7jRsX3wp74IIZ1D8Ouw54v8z9rAS8HfgLeIDvV1YCogfUpiXPEob8COs5ldUYPlCCtNtgAXp4gp8PZYepdgf4Z28+QzE0q50Y2k2ur2N4ddiiyqT+7oqVK5dgI+8YXMJfkB39YafEpr+7xTW4C5VHt9XY8o2E/hlhtsLku0vYsYvti2TSBJgP4LC7RflEWec40rM7z/eeMVqMe5Kz/XPsuZ5mnoTbOdyAk7nEmzjmVg++rwowJ6tLAPsXeRzMaEAe2txbyBXGlz/eg7lBQXYRRqRAuzJKMCuAHujU4C9NAXYk1OAvbkpwF4/EgfYo2qavg98y+vuxGqprovlCf8YmAK8DHxQZuG6gT96r6HAhliA9lmscc0oG5Yx33JOKnOwGtobYLWxZ2CNsfpGlTEP1x1Yg5UbYPmqP6Mw7cuJwJVY7e5ngLcrLI/vZu81HNsWfbEGLd/CUpiEpbW9INn+gsq3Za24Oeo/jxnnfSz9DVgt/WKeAb5Gzxr8rtu98dwbJ8uVmG+9WISlNbqN4usIVlP9KOfzd7Bzg0il/gL8L+9CSNN7DGsvoxIzsbRFN6VfHBEREREREWkGpVI5zMbyTj9aYrxyfUZhrvdaWAw8keL8ZhPdUKbvTe+VRnmmYUH9vOSxv4rxnwYYjtXuKUeX071UzHTu/lq7xLz9gP06WI78rpjxHqIwwD66xHzrzXgsDUypJ1RcfpqYFzMpUWlLe+8jyaYR2Fbn18LrS3XH8sqhz7OAi6ucZ1K9sbRRjfTdLFc7tn7NuG5J3Q0ciz1NVo6ngJ9gFQry2o7+eW1QDcrQhtUgXQmrYNEf+77Pp/AGe9xvqYgYtz2iVbHvbyVW8d47aa3v2hDvfSCttd59ne6VyfYa1j8WV6K1tnGt+ClR+5Bs+/rX2ssmnL4R+JXOWu17ngb3P5T/pFO1hnrvy6P9kTf/N3AFtC/y5u+LuOuw2HYm03q0RKQWZmLBhoVYTetyucEUP7WPqx0LJIAFzOcVmVcbQYqcecQH2DsoDE4vpmdDufWqDSt7O8H6tceP3sN88mnktC9207DYfpHkemM/JnOqnI/7fYPKv89p6o8d73NzWn6WBhCkI5NAO3auKHZO68KOy3porNk/r71PcLGXtl7eq53i14Vd3jiN9Hsmkgf3WvED7CngSvi/k632XfO32xJar6KE/1/ldQpv0KStD3Y9p2vlbPQiuDGd5Bqi2ukbQSt/z6vl/oeaRWX/z+P4/++a+ZhrFP6+0Pk5f/5vZdx1WH/S+f6J5CpJDnawWot+XqQdyxhnmxLz8xu7/UaRcdwcafWSP7ccA4DHsTI/iNVUbAMOwv4klpOveC6l08tkQTnYs5VFDvZpVPaURNqUg701tWPtRewOfBM4LOia2QAAIABJREFUAGv7ZAuCmjz1Iqsc7AOwNl0+J/o8vgBrR2YfYA/sSUZ/2BUpl0Wk2SgHezLKwZ79NWx/erb9JempNgd7B7Cx996slIM9OeVgb259sfTMqgSdv8Q52BV1l1ZwidP9tZhxTiC4U3gZxR/n9S+a1i0yzsLQ59eKjFtPLgY2wdoG2AO7O94N/BVLiXMapWsb9Af+lGEZpXn8BdVekdrrwtqLuBX4B/BPrN2TR7AbqM1ua6xdl9Owm6iuLiyAPhprj+d6rHHvL2KNvEPp9IIiIlKf5mHtREl9WgI8iWoSi7SiBcDTpJP6R3KiALu0gusJ8sceRHT+3YeBU7zuMVju+2UjxoOgIc+xRZY5IvT58dLFzN2GBA0cHwZ8Gho+B7sRsRZwbYl5fQG7yy5SzA15F0CkxWwH3IXVIAt7EtgMq4EXboB9NvCS192XeEOxPJ6qfSMiIiIiIi1DAXZpBYuAX3ndQ7FG66KcTPAY/mZYA3e7RYznB9jXKrLMzZzuT6k+rUYt7OO9P0HxxnXfAfYFtsVyRcbZIaVySXNaQroNUItIccOAa+gZIJ+L/S5ujgXZo3QSPLUVlYuwH/YUwKfAFOB5it+EFhERERERaRoKsEuruArL4Q5wHPF//McDP8UaNFgRCxgsFxrHD7CPIT5H3n5O92U0xqN+ft70u8oc/wFgU+KD7CvH9BcBa7R4cd6FEGkhx9Pz6ar7sHP/H4j/neqHPbW0jDdOVHqBr1GYv3Nt7OmxZs4jKyIiIiIiAijALq2jC/gulnuwH/Bv4vOsn4U1MHM31gDLtNBwP8DeF1g1YvrdgfW97tnAHxOXurb6eO8zKphmJvDrmGFzqiuONDnlXhepnb7A4c7nhdjN5B2AN4tMtzLW4PWXvM/nYb+RYVEN840F1qy4pCIiIiIiIg1GAXZpJa9gucXB/vT/D1g6ZtzngJ2wtCnhWn0fEASPx4SGLQ2c73w+EZiasLy15pezWOqbKHFpPoqlj8nCB9i+Ct8QkfryMbafLs67ICItZG1ggNf9DrAlFigv1pDSPlht9Y2dfpfHjBv3NEpUOhkRkSizvVejXDeLiDQ6/3w7JddSiDQJBdil1fwDC3oDbIE1Prpe/OixJnvvqzn9OoArgVHe55tonNrrAPd773sSf+MhStR5ZCHwn6pLVJmTscb1PqrxcqUyU4AVgFPzLohIC/Frkj+LpfZ6qsi4Q7Dfsuuwdkt8t2K51aM8FtFvIsVrx4uIuOZj19BH5lwOEZFWcTmWDrfYdaGIlEkBdmlFpwKneN1rAI8CRwG9K5jHZO99de99MJZvdk/v8wPAARSvHVhv/o3VLh4MnFPBdNtE9PstMD2NQlWgC9VebxQfY/tLRGpjJezG554UP0/uDbwEfDvU328INc6dwG+8ec/GGlPdN2lhRaRlfQosyrsQIiItohtVThNJjQLs0qp+BRyC1ZbpB5yLpTQ5DBhYxvSTvfe1sZo2LwJ7eP1uBL6MBSQayQzspsBc4GDgQkrfdBgK/F+o3/+A09MunIiIJDYQ+42bHDN8VayG+vX0bNi7GzgUeK3I/JdgDYgviz0BtT+64SkiIiIiIi2iV94FEMnRFdhj7X8BNgNWAS4BLsDSpdwNvI/d1Z2LBeKXwtJbjPXmsYv3Aqu1dwJW+7uRaq677gG2B64FfoCl0TkOuJ2e6zQSC8as7PS7EjgCqykpIiL1YS6W0mxFrL0K31DsHD8Bawg1bAZ24/n6CpbVqL9/IiIiIiIiiSjALq3uJSyI/A2sJvZGQB+sgdOdypzHh1hg+TwKAxeN6nGsZv5xWLD8Nixv9kMEDYmuCexMEJB5DDgNuLnWhRURkZJeBvpjN45/hQXcdwMOBDojxl8I/BlLp/ZpjcooIiIiIiLSkBRgl0Yy2HvfFAsKpO0PWONKGwJrYTX9BoXGmY8FG+Zj+de7gZ9jQecdMihTnl4GjgXWBcZgKQTWxlJLzQMmAW8Dr2KB90Fks1+kPmzqvQ+jefbzUthNomZZH1dvbP2acd1ayWjvfTWq25e9sXP6WODqmHEWYY2SPoK1TTIbS3cmIpUZ5nTvDcypcPoR3vsq6BzeCtx0jF8CNsirIFK1Lb33wei7G8dvPH1ltI0qNcrpPhA9MSiSlXHee9x12OCIfgC0ZVIckWxMxXLDvoqlbqmFNoIbUYsJfsgGYjXfAe7zhok0s+FYQ4nTqN33L2tfwL7f9+ddkAxshwVMH867IFKVkViw7lXSaddjaexmaG/sxvBi7zXHe+nPmkj1+mAVEsBuVvWpcPr+2O/TR8ALKZZL6lMbQVD9YWz/S2Mahv1uTye+zZNW1w5shT0d/WbOZWk0A7CnyAGeQrE8kaysiLUrNQOrUBo2FksfLdLQJmF//sfnXRAs0N/tvVbJuSwikswbwCd5FyIjM7D1ExGRxjIau76Me9pERKSRKYuCiDSl9rwLINKg3JqES+VWChEREREREZHGoCe/RaQpKcAukswCp1uPcoqIiIiIiIiIiLQgBdilVe0M3Ah8jAXLXwVOoPxcSl1Od+/YsURERERERERERKRpKcAuraYXcBlwB7AH1nBjH2AN4BTgLqCzjPm4DVbpMTcREREREREREZEWpAC7tJpzge8WGb4VcGEZ83HTwsyrqkQiIiIiIiIiIiLSkBRgl1ayLvD9MsY7EBhTYhy3YdO5sWOJiIiIiIiIiIhI01KAXVrJHkBbGeO1AV8sMc7KTvfHiUskIiIiIiIiIiIiDUsBdmklK1Qw7rIlhq/uvU8HZiUrjoiIiIiIiIiIiDSyXnkXQKSGZlQwbqla6Tt67y8nLIuI5G820DvvQmRktvcSEZHGMsd71zlcREREpEEowC6tZEqZ4y0GbisyvA+wq9d9a1UlEpE8HQT0zbsQGdkLNcAsItKIpgJfAp7PuyAiIiIiItJ8JgHdwPiE06/nTV/qdUaJ+RzmjDsuYVlERERERERERERERGqm2gA7wNsUD66fD3QUmb7TmceNVZRDREREREREREREGpxSxEir+TVwsde9ALgCGAC8D1wHPFVi+t8Do4AlwK8yKaGIiIiIiIiIiIiISMrSqMHeATxJUGP9ForXWHf9zJnuF1WUQURERERERERERESkptIIsAOMBD4iCJbfD6xUZPyBwHnO+P8B2qosg4iIiIiIiIiIiIhIzaQVYAdr8PQdgqD5XOAq4OvApsD6wG7A2cBUZ7zrgT4pLF9EREREREREREREpGbSDLADjABuoHijp/5rDpYWptx0MiIiIiIiIiIiIiIidSPtALtvC+BSYAo9A+svA6dgaWVERERERERERERE/r9eeRdApA484r0ABmE12xdhAfcFeRVKRERERERERERE6psC7CKFZnovERERERERERERkaIUYBcx7cBBwDewPOvTscZMbwX+gWqyi4iIiIiIiIiIiEgDyyoHex/gDm/epzj9lwYuAJ4GOlNepoiIiIiIiIiIiIhIzWQVYD+WoFHT4aFhbcAbwPdTXqaIiIiIiIiIiIg0uPa8CyBSB3ZxujcPDesG3gKWql1xREREREREREREpBEowC4CM5zuq4H/A/p6n4cDWwI317pQIiIiIiIiIiIiIiJpySpFzK4EKWL815vAPlhg/ayUlyciIiIiIiIiIiIiUlNZBdgBfk7PIHs3MBcYk8HypLb6AhsB3wL2AtajsOHaUcC3a18saSFfAH4GfDXvgkjdWAU4Gjg074JUIYvjuhP7nT8KWC5i+Ehv+IQUlykiIiIiIiLSErIKsC8FPAqcAdxGzyD7DGD9lJcp2evA0v08Dywi+gbKO8DfgJeBLqxRW5G0DQBmEhx3a+ZbHMnZScAzBMfDjbmWJrmsjuvjnXn+w+vXDpwCPO0Muyel5YmIiIiIiFSlV94FEKkDfwKew2rhAXwJOBsY630eBJwPbFP7oklCawJXEjRauwh4CHgCeA+rAbmn9/4tZ7r+2FMLImkaQOETEyOAV3Mqi+Rvc2DFvAuRgqyO62Wdbr8Gexd2M3yVFOYvIiIiIiIi0rKyqME+HPvjPjLUvxfwW4KacovRDalGsSMWJPf33VQsjUFYf+B0Cmu0L1OjMkZpA84jOiVClrYBfljjZTaypPvpOOxJiT9Tuycl8jqmpLQDafwa7JDNcb0mcDf2m79daNg+qAa7iIiIiIiISGJZBNhHevNcIWb4e97wBSh9SCMYALxFEIB5lfh96zvHGT98o6WWfuGVYYMaLnM4dow3coCv1vLYT0k1UllbzbY0R4C91jZAAXYREREREakz7XkXQCRn7wIvAQfHDJ/tvd+E/aGX+nYqsKrz+efAlBLTHAO87nUPzKJQZdgRK3stdQB/B1aq8XIbWR77KalGKquIiIiIiIhIw1LKCxE4ALgFmAdcACz0+h8CrIXVgj46n6JJBVajMNXJU8C/y5huMXAh8AcsbUyU5bCGbruBz7GGU+fEjNsb2B67OTMJ6IPlXB6FpVJ4ksKbNVt45ezwPq8AfOR1T3XG6wvs4s3jDezY3ASYCLzvjDcYWA9Y2fv8FvAYsCRUxr8AO3ufBwHLe92zCG4s+QYCG2Lb+H1s/aelsO5hfbC2D5b11vcFrCHauGnK3SallLN+5e6nUsvZFds24Wmq3XZJy1ruvoXyt/cY7Bi8HuiHrfNc4F7s++Zb21vuUOx79bBTzkoM8Mr1LPA29h3YxivvY9iN1DilytBGfIqdGd6ywv3mVVb8/68D2BjbrpOxNiOKtQlR6fdlOPBFrOb3x1j+9C2BYU4/1xhgU+x4eAQ7N0TJ6rheF7sBeFvMcF8v7JgfhTUe+xKW+s23fGj8edh+asfyxkcNc/nn/6Wx4+tlLB/8hyXKJSIiIiIiIlJ3skgR4xsMnAjcgT2ufycWUDiOwkbcpH7tR2E+9R9UMK2///uG+m+MBa26Q68lwFUUBte+ggWtP/PGuQT4Hha0c6e92VnOFlj6ofD8uwkCRFth+Y39+U7Abgj5483FAuQdwO+xwH94Xm8Aazhl/U/MMru97eAbAFzura87ziLgZIIAbpJ1d/UBfoPd3AqX5wNv/q5yt0kp5a5fOfspTi9gN+xpgdneNDs7w6vddmHllrXcdYfytvco7Dvnn6ffBb4KzHTG+7VTxieJLt9pZawj2Hb9EvBXLPDbjW23f0Ws0030PI+XW4ZtsZsC4fEWUZhH3X+dXWb5wyliDqbnPn8Dy0ceVsn3ZVngKOwmiL8euwK/C02/xJsnwF4E6dH813uhsmR1XI/Enjx6zhv+UGjdwyliTgSmh+b5FnaDByzAvyg0/Cpv2LCI7RdupPXXRG/nbgq/IyIiIiIiIiINIcsAuzS+UygMfuxcfPSSvkMQWLkOC+xsS2Fg8X0sJU07dkMmKgizgJ4BmgneMlYGDg0NO9nr913gJzHzDL++QGEu+UOAIcARTr//OOu2B3ClM+xpb5mHYrWZwQLUz3vDnwNOwAJTbgOyP6li3X2d2NMG3VjN0QOAccDhFN4sON0bv5JtUky56wel91Mxl0eUzT82q912UcopayXrXu72fjei37zQ5zuwWtGfeJ8fA1bBapE/5IznH4PFfAkLhpdTtm7gQWfaSsswlOD3x3+t6A071/s8FdiB8oOuboC921uXJQQ3C6K+t1D592XfiHn6r2nAp6Ey3Oa9z8dqa7vju7nisziuR0cMKxZgL/aaBazjTTPUK7s/7CpnfgOwG+n+MPfphcO9fnOxfTsCC/77AfsBiIiIiIiIiDQYBdilmBsoDLCMrmJeKxDUtLyPwgZu+wB3Ocu53Rn2s1AZbsDSCiyF1bT1+08MLe8eZ5jbIOUwLDXBcxTO92gsHc7j2PdiCEGt3c9D8/aDZEuw2py+Uo0snuENeybU/8fOdJ8T1AxOuu5nOcN2DA3blaDWbRewdQXbpF/EOlWzfhC/n4rpD2yH1SwOByJ9SbddMcXKWsm6l7u9l/P6ueM8463r9diTIIdgtaT94X4QH+yGlt+/3Nzxo+n5hMmx2E2GUdiTSO6wPb3pkpRhBSyFij/8bGB1bzvNwwL0lQgH2CdiAdwO4EdO/y7snOOr9PuCN8+HnenmY/sCrPb4taGy3EgQPN7EmecignYqsjquVyK4aVFOgP0u7EmJtbBa+e6wW53p3KcN3AA72LEbFWC/2+v3v9D4/s3MoYiIiIiIiIg0GAXYpZg7KAyuLFvFvC5z5rNbxPBwkMcfZxenXzgwv6Mz7O3Q/EoFbv9EYUAprB/BDYFwvul/OdOOcvoXC7CviAXhuoGLsHQL/mtXCtd9J2+aJOu+KkFt0Mci1gssl7g/7aNO/1LbpJgk6wfJAuw+98mHcCAy6XFTTFxZk657Odt7RGj6rSPG+aUz3K39P87pf0VZa2jc7+pPQ8P6Y2lW/OG3VFkGNw1VF0HN8B9XUF6f+/17nMIg+gAKa3L7DTdX8325xOkfTp/lBp9fo2f7PI85w8eEhmVxXG/iDCsWYF9M4XaDwuB8N0Fam684/cIB9t7OMDfA7j8p8CmF36G1sf0zBBEREREREewxXhGRZhBOzbBq5Fjl2dLpDtfy9fu5Aa7NvPf5Tj8/L7DPHb/S1AJug6rXRAyfjwX5T8Vqc4LVNP0u1qCgL9wgY5zNCPIiH441Hum/wrU5N3HK4Ct33TclCOa9ElOWi53uDQlq4ZfaJsUkWb9qxTWKC9kdN1GSrns529sdZwqFaVl85wLHYEHev3n91qcwOF7ucQqFjYBOCQ2bh90Y8PnB4aRluIYgZUsbVsN/IvDHCsob5QOCxrXB1uk557PfnkA13xf3GAs/5fJ0aNji0HC30dvhoWFZHNfF5ul6gMLtBvZ0htugc6VPFrju8N6HYoH+X2LfnRexgPv0KuYtIiIiIiJNJFxLSUSkUb1IYcqENSiswVmu3hTW0pwfM94jBIH1dWLGcS1IUJYoS2L6P+i9VsVSGByMpWNIwm0Q9Sh61op3PV7G/OLWfZzT3RYzziNOd2+sRuoLoXHitkmctNcvS2kdN7401r2c7R03ziwsvUoHlh/8aKzB0azc4XSPSqEMP8BSo/gB+GcpDBynJRwEh/S+L2HzSgxf5HSndd2YxnEdtd3fx4L3/k3SalKF/Q1LOdSB3QQ4DUutcxSWq15ERERERARQgF1EmsdLoc9rRo5V2jIUnhuXAz6LGO8Dp3uphMtKU2+sYcMfY+X/F9bw64lYELESo5zu1ygMUqZpeae7b8w407EavX4t1zS29SinO8v1q0ejnO681n0z4C9YwPgj4DAsHcdTGSzLrdXuBpKTlmEqlnbGr93/A6zWePj8k4W8vi+N5l2CAHu4Nn4lXgD2x44Tvy2G1YH/AidhjQeLiIiIiIgoRYyINI3nQ593SDifjygMxMWlmnFrYL6WcFlpacdSV/wUq215IJYv+sWE85vtdBernd9GYcC2UpOd7mIpfdw0EGls61qtXz3Ke913AO7HAtuPAmOxPOpxT4pUy23Y1z92qinDwRSmzukDXE5trqcmO921/L40GvfcnPQc6LsOa5/gv6H+J2EpY0RERERERBRgF5Gm8RBwr/P5C8D2FUw/Dqul2EVhfuO9Y8ZfzumuNojjSnJe3h/4std9PfD3Kpf5ptP9Q6yxyCg/8cZNWkvW3W4bAyMjxulLkI7jI6zBwWqlsX6N9PvplrVW+zbOnwlqX3+X7PNYr+J0v1plGVbB0i/NBw7FzhVg7Rz8qLpiliWv70ujWcHpLufc3Dum/9VY46hvA7sDXwLec4Z/M1HpRERERESk6TRSgEBEpJTDKax9/jdgpRLT9MXyMb8AHO/1cxt73IfoIOTO3vs8ysvHW+x86+YSHlXGvMLWc7rDjb26tZTdQFKxZbrpLkZiuYfDOZ/3AX6DbeNZJcoXt+6TCHJNtwHfihhnZ6f7+hLLKVfS9atmP7XHdFcyXSXiypr2vq1EJ7BazDC38cy4gGcS+zvdfqqPJGVoB67A2jU4Fau1foEz/FQsfUi5Sh0Pbj9//9Ti+xKX2z1OFsd10nmCNUjqp4e5FcvJDsHNEAjazvBt43T3J9gGoylMr3U7lqt/qvd5HEq1KCIiIiIiIg1mEhY0Gp93QaSuHYMdJ/5rOjCBnoFngE2x1DLdWJDcr/k5EHjHmcdfQtPt4gz7hdP/207/cG7r5Z1h8ynMoXytM+wiLGhzOlbDGOCfzvA/RKzHac7w2Vhjr1sA54e2xXgsdcyKwNpO/4VYyol1gVuwPPSPhKa9HzgC+Dn2pMASLPjqByuTrvtRzrBZ9LwhcJ837COC/VPONiml0vWD0vupmLudafcPDUu67YopVtYk617O9l7TGWcxFux09ceONX+cv2INCh+MPTXi938d2ADYq4z1PC80PzdAPBaY6Q27tcoy/Mzr/yxBULUTS9viT/Mw5e+fPZzpHogY/rwzfDunf9Lvy03OdIeFlrWuM+ztiLLc4Qz/WmhYFsf1Ns6wV0LTbeAMi8qXf643bA6FN5bc8103cBy2fb6C5el3h+2Jpf55AruBGr5J61+LvBWxfBEREREREZG6pgC7lGtPrJahGzR5C2v482zgZmCaM+w39KwpuR3wiTPOZViagCOx4E03lp+3jzf+esCdzvgLsODNQCx4fVmoPL8gCECeEBrWhQU5vw3sFiqr34DfQKes+4amd+czO6L/1lgjiJ+H+i8GHvOGbeWsZ9RrPvDFFNa9HbjGGfY2FuzdHct73I2ludjJG39AmduklErWzxe3n/Yrspwh2LaY50x3Nxb87aC6bVdMsbJWsu7lbu/RwCWh+fwOC066362XYpb5fkS/u8pYTzfA3o3lVP8ZluLGPwe8SGGqmErKcC/2ZMwS7/PRznw6sIYu3fFvANYoUebVsXOQu8/3wLZnJxao7nKGX0OQDqbS78tAbP/NcKa5HwtUd2CB7gtC6/Aj7CZcP+xm3Uxn2M3esCyO6+HYcXSd078LOIDgmF81tG1uxm46/Mzb9t3euu4Z2ua9iN/vn0b0OwMLsHdjqYW+gN14/K6z/AmIiIiIiIiINBgF2KUSQ4CLsZy5UUGVJVjwbI8i81gBC+DMD037HvCD0LiTY5ZzNJYfPmrYJd60I7Aas27A5zBv2rgg6D+dZbfRM2D1AhYk3SRU/t8R1PL9idO/C5hIYfB2HeDpiGXfiQXo0lh336H03FfzsScLVnbGK3eblKPc9fPF7adiHixS3n1IZ9tFKVXWcte9nO3dTuHNqPBrLWd+W1BYY3g28CcssHy9038yloKjFDfA7gaCu7GbCP/E0rq4KinDryPWZ0VvPjvHrO9HRcpbbFudB1wVM+z10HzS+L6sV2TYE9gTD3HDnywyLOlxfW+RebqNWO+C3Xz5LDTOXG/9R/Xc7IAd16+Hpnkce/LiXW/73Qx8B6vd/oA3zoLQNLOxc6eIiIiIiAhQea5NkTxNwgIjEyjMfStSyiAsoDgGC8JMwWolTitz+l5YioFhWG3YYgG0pPpjAaAlWPBqSYJ5jMJqgL5KYWN8Q7BGEV8kyB8cnuZ54tdrCJZGYhGWsiHLhimXxbb1DOwmwaIMl+WrZP3S2E+1Uk5Za7lvfQO8ZXZggdyFzrCNsSD0M5S3788jqEl8IJYiZS0s+Poc9lRG1mXIUx7fl3qyMvbEwMdYDfVS38fe2PGxHJYG7DWv/2bY8f+5M24/LKDehT0BMRJLy/Mi9jsiIiIiIiIi0nBUg11ERFxuDfaoRj9FREREREREMhXOOSwiIiIiIiIiIiIiImVQgF1EREQa1Uine0hupRAREREREZGWpQC7iIiINJpOYCdgO6ffocBWWF5yEREREREREREJUQ52EREBOJ0g93r49USO5RIRERERERERqVsKsIuICEAH0Dfm1TvHcomIiIiIiEiL6ZV3AUREREQqtMR7iYiIiIiIiORKOdhFRERERERERERERBJQgF1EREREREREREREJAEF2EVEREREREREREREElCAXUREREREREREREQkAQXYRUREREREREREREQS6JV3AUREpGXsAlwGzAOezbksIiIixWyC/Vf6MvBCjZa5KXADsBB4qkbLFJHAQGBdYDqwXg2XewJwOPAJ8EYNlyu1t4X3vj7wWY7lOA/YE5gCvJtjOUTqzThgaeBE4C+VTKgAu4iI1MoqwEpe95g8CyIiIlKmYTVc1nIEv5Or1XC5IlJouRovbwPsu7+S1y3Nr3/Oy9+I4JjbLOeyiNSjNSqdQAF2ERGplQ+896nYHWEREZF69UesNmstaxhO895nAD+t4XJFxIzEapPXumbxq977JODyGi9baqcNuNjrnp9nQbBj7gvA7cB1OZdFpJ4cC6wJvJ13QUSyNAnoBsbnXRARSWRL7Dv8Ut4FERERKeFT7DerljXJx3nL/KDUiCKSiY2w7+BbNV7u0d5yr6zxcqW22rH93I2loMjT6V45zsi5HCL15l7su7FnpROqkVMRERERERERERERkQQUYBcRERERERERERERSUABdhERERERERERERGRBBRgFxERERERERERERFJQAF2EREREREREREREZEEFGAXEREREREREREREUlAAXaR8iwDrJZ3IURERERERERERKR+KMAuUtqOwMvAs8CaOZdFRERERERERERE6oQC7CLFHQzcjtVg7wSuBfrlWSARERERERERERGpDwqwi8Q7ALgM6OX0Wxc4Lp/iiIiIiIiIiIiISD1RgF0k2mbAlUR/R34GrFHb4oiIiIiIiIiIiEi9UYBdpKdBwDVA75jhfYFf1644IiIiIiIiIiIiUo8UYBfp6SRgVIlx9sbSxYiIiIiIiIiIiEiLUoBdpNAYYHwZ47UBv8y4LCIiIiIiIiIiIlLHFGAXKXQc8alhfDO8972B5bMtjoiIiIiIiIiIiNQrBdhFAisA3ywyfBHwe2BV4EMsEH94DcolIiIiIiIiIiKwOzsJAAAgAElEQVQidUgBdpHAAUCfmGFTgO2BY7Ea7Hd7/Q/OvFQiIiIiIiIiIiJSlxRgFwnsFdP/VWBj4GGn3+Pe+yhgywzLJCIiIiIiIiIiInVKAXYR0w/YIqL/ZGBHLCWM63mne7+MyiQiItJIBgMjsIbARURERNJ2MvAgutYQERFJbBLQDYzPYN6bePN2XwuBTWPGX90Z75UMyiPSjDqwANzSeRdERFLVD7iZ4HfxBWBsriUSqd4g7DerlhWS2tHvpEie8rpW7estd0CNl9uIJmLXGv1yLkdSg71X3vph5eifd0FE6kwn9t3onXdBRLKUZYD9W/QMsJ9YZPwhoXFXzKBMIiIijWBfev6GvoQFKkRERETSMpHGDrCLSJPqlXcBROrEkNDnKcCZRcafG/q8NXBNqiUSERGpnTZgBWBVrOZeJ/bndS7wOvAc9oc2yjoR/cYCa2KBdhERERERkaalALuIWSr0+XfAvCLjhx+lWjvd4oiIiGRuILAn8E1gG3r+FrqeB3YH3osYtjhmmgVVlU5ERERERKQBqJFTEeM2krIQ+FuJ8cN5+ZRrVkREGsUA4JfAVOz3bjcKg+sLgX8AX8cC8I8B6wKXxczvsYh+E4E30ymuiIiIlNAGXAR8O++CiIiISH3LMgf7zwnyxt5SxvjbUphr9v4MyiQiIpK2rbFa6OGc6d3AEuAvwMqhaTq9aZZ43WEdwK+Bj4FZwNXA8AzKLiIiItE6sd/yiTmXI2sTUQ52EalDShEjYhY53Q+VMX443+ygFMsiIiKShe2A24G+EcOeBI7w3sNme/1XAoZ6n11LgOO8VxvxudpFRERERESajlLEiJj5TvdTZYy/eeizblaJiEg9G4Y1xh0Ors8FfoL9rkUF18FqxW2OBc4/K7EcBddFRERERKSlKCgoYuY43R+VGLcd+HKo38x0iyMiIpKq44ERoX73AYdSPFd6P+BaYDngVXrWXhcREREREWlpCrBLI/EDA5sDb6U879FO9wbA8kXGXY+euWV70TPoLo2nD/AtLIXClJzLUm+GA6tgN5Nez7ksA4H9gJuAT3Iui0iWRgHLYI2RflDFfHoDP3A+LwauBG4A1vBeUYYDJxD8Rr6EfutESumDXSsCPI2lUMrCcCxt0yDsOnQmdrOs1FMmUl/agI297mcpTFspjWUZ7Hd7DvByDsvv770Ppbl/q4d677tijbK3igHAOK/7iTwLItLkVsZij58RHXdcm+B8W6Atw0KJpG06MBgLNJSqZV6pToIAwsvAgiLjjvLK4ZpGdcGPRtAJLIXVZmwHurDtNAf4nOZIC+AfBx96Lwksg/2Rnw68k3NZBmPfww+w755Is1oZS+3yOoVPWlWqP7Cm170QeBuYV2Kawd7yO5x+r1CYUk1EeupDEAR5hHQb4uvAAutDiG5LAeya7H1aK/DUyNoJbsg8SHRD0tIYhgIjsca+iz0ZlhX/WJoNvJHD8mtlNPY9eQ77P9oq3Gu5p1EsTyQrKwDLAjOAyRHD10KNLEsTmIQFccdnMO8x3ry7gc2KjDcKq1nSHXodmEGZ6sWOWK3Fbqx21N+BM4HrsABNN3bD4/C8CpiinbD1OS3vgtSh8di2eSTvggD7Y2U5Nu+CiGTsUuxYv7DK+XzPm8+z9HwCK2wIVrs9/Dt3S5VlEGkVIwm+N6W+b5WYgN3kDn83o14fYtesUv/6Eey3dXIui1TnEILf2jx0esufmNPya2Uitp6tFuDaiOBcoeC6SHbOwL5nV8cMf46Y6y+liBEx72J3wNuxNBiPxYx3KtGplR7MqFxDgB8SNE6X1XLi/BT4LbZdXsAC0O7TA9tiOXyXBS4CtgG+TXPUZhcRaRb7eO+/pvhTH3sDF2D51l1+Q6giUnuDgSuAPSqYZgTwe4LvvoiIiIhkSAF2EbMAe/xjNYJHr8I2wvJzhz1F9KMjaVgH+JXXvRy1DbAfjd29802gZ2qe1yi8i34g8CTwx8xLJyIi5Rrgvcc1yL0qcD6wW8Swbqwh1NcyKJeIFDcMuBPYMMG0X8HSyMSlPRyOpRx4j9aqGNGq6y0ikgedc6VltOddAJE64j/OF/V4ZgdwMdGPY8U9OpKGxU53LRs92hQ42/k8Gaup7loHuIee2+SH2RVLREQS8H8/hoX6DwXOwtoeiQquzwC+Qba/cyISbQBwN8mC62C54IdE9B8E3Ax8jLWp8jwwNuEyGkmrrreISB76oXOutBjVYBcJPArsBWwRMeyHwMYR/WcBl2RYJjeoXqvGqtqA8yhs2C5cc74Ty38XDtaA5fzsxBrYERGR/H3ivf8Wu3E7FwuoH0h0g3oLgT8DpwCf1qKAItLD2cD6VUzfRfDdd52F1W73rQ1cj1WcaOYGA+PWe11gSS4lEhFpXl9G51xpMQqwiwT8xhtXwdKxfOh9Xg/LWxvlT1gNv6y4NdhrFWDfD9g81O/10Od2rOZjlMUUlltERPL1tve+EvG10edjN5qvAf6FAusiedoAOKLKebxE9PXYnhH9xmKpot6scpm1sBp2M2BZLAXOh9i56/0S08Wt92r0vM4VEZFAkvPuuIh+Y7F0vC+lXUCReqAAu0jgESzA0A/YDgsy9Af+if2QhH1IfOA9LXmkiDkyot+Hoc+fA//D7kyH3YptRxERqQ/+b8mPvPchwDwsJ/t04EUsTYxqFInUhx+kMI/LYvrH5WSvVUWOJAZjT5MeCIyOGN6NXX/+EHgrZh6NuN4iInmp9rwbd00Zdy4WaXgKsIsEFgCTgB2AXbAA+yVE330FC1TENRiXllrXYF8F2Cai/7yIfocBd2CPe/leBA7PoFwiIlK9V7GboyJS37avcvrJxAfYLwdOCPWbiDVAV48mAKdiwZ44bVgqgk2xVI+TI8aJW+93qi6hiEhzSeO8+0TENBNpjCelRBJRI6cihe7y3ncBfgx8K2a8m7EAfNZqHWDfKqZ/1B3oKcBGWEqZXwLfxPLUf5xN0URERESa3mBgjSqmXwwchLUTFOVU4DfANKy9nGuAfatYXlYGAzdi7QIVC/K4RgC/jxnWKOstIpKXNM+796JzrrQY1WAXKXQbcDqWp/asmHGmYbW3a6HWKWLWi+nfJ6b/QixXr4iIiIhUb5kqpl0MHEDPxuldi4DjvFcb9ph/vRkG3AlsmGDar2CpHcNpCBphvUVE8lLtebcXhbGLJeicKy1GNdhFCj0NTPW6474fh1G7WtpuUL0WNdjXjOkflYNeREREROrDTGAf4LoKpqnHgMcA4G6SBXnAKoUMKzFOPa63iEhe0jjvDigyXOdcaQmqwS5SaFmK1xT/A3BTjcoCtU8RMySm/wAsH+j2wKrAHKwm/zPAQygtjIiIiEiaFlP+f7WHsbSGkzMrTe2cDaxfxfRd2DWqiIiUJ43z7pyUyiLSsBRgl0ayrPe+u9Odpl7Ad4AVY4a/h/1wnJzBsuP0d7p3DH3OQlwN9t9jj3a9h+X0HIblWwP7QX0Da7Tkw4zLl7XVvPdtqe1+bgSbeu/Lk/+28RvW3QVYKs+CiGRsI+99Par73m3rvR8EbFlViUSklEFO90+ovILEUO/9PSwHblzlB7CnLh8AXgEOqXA59Wg54PAq5/EJcHwKZakV9//4ocDneRXEMRT7rzUAe4q1D5Zy50OsUVjVRo22gfc+nHyulf2UnqNyWn6tjPLeT6CwMlqzW97pPinF+aZ13j0xhbJIcf65uRPowHLbv0d9/G40E79dwnWIPpeOiOgHKMAujcU/Xpci/QB7G7Ar8cH1OVgAuZq8mEm4uc/7k82NBVfvmP5tWH76d5x+a2BB/3avewzwKFarvVH5jbkMJPtt3Wj8QHYv8t82fvCik/zLIpIl/6ZqX6o71gd674OqnI+IlNbpdA/FKiJUwv+N6wKuBVbBrk/97/FcYDr2p3qm169ZvtdbpzCPN2is7dHhdA8G+uVQhl7YE6pjsCBe3P8BgM+A/2KBHSm0tPfeQT7HYG/nvZG+A5Xy13M4lue7Vbg3W9Pcv6143m0kfYF1sfPzoJhx3sGyCijQng4/3VE/oo9rxdGlKUzCakyMz2DeF3rzjnrNBTbJYJnlGOiU44gaLO9BorfBYxWMf3DmpczOTtg6nJZ3QerQeGzbPJJ3QYD9sbIcm3dBRDJ2KXasX1jlfE7z5vOlqkskIqWMJLgmGp5g+tHetFenWagG8Qbx1+PlvN6m8Z5s60dQ/nVqvOwBwC+xoEzU9lwA/B3L7b8HVpGmG7ijxuVsFIdg2+fZnJbf6S1/Yk7Lr5WJ2HrmcTMqTxsRfDfbUppnB/AmrXfebRQTsBvq5eyHDwme7pDqnEHx67DniNkPirwn932s9m4aJgM/S2leUrkfAz8oMvz7wBM1KktYrXOwx931fDqm/70Ej9D4zgJuKDIvERERERHXAGD1KqZfjKXBmpVOcZre1sA/gZUihnUBV2EpH95z+t8NvAx8EQvmqha7SGP7HkGK1CR03s3GYOAK7MZmuUZgaX33yaJAUh4F2JPbGvhGSvN6BQXY8/IVLCBcTLFGT7PmBthrUY7JMf3jcqu/HtFvGLZd/5FGgURERESk6Q0oPUqsxcAB2JOVUtp2wO1Y6oGwJ7GnZp+MGDbb678Slv4oLsC+PPYUrl8zVkTqUzXpb3XezcYw4E5gwwTTfgV7smN+zHCdmzPWnncBGpjb2ORnwAXAMcC3gX0jxj8C+BZwNPAb4LWYeUntrIU99hj3PfBrjH+1NsWJtITg5FeLGuyvxPSfG9N/Wkz/bVIoi4iIiIhIMTOxGnvX5V2QBjEMuIaewfW5WKO8mxMdXAertb459t/ks4jh/YGbgSlYJZzngbHVF1lE6ozOu9kYgD0plCS4DtZ+X9RNk37o3FwTqsGenB8UfwXLzz0nNHwqhS093+z18x2HPXp3EAqw52Ew8B+CxmjC/oNdXJ4C7IIF4SttpCoti7CTZTjA3oEdO2k+nhmXCiauAZl5Mf2Xj+kvIiIiIhJnMeX/R30Yq8A0ObPSNJ/jsVQCrvuAQ7FajXH6YY3uLge8SvT/j32xGpS+tYHrsQb6WqkxSpFGM4/yY1I672bnbGD9KqbvAj6K6P9VdG6uCdVgT84/AR1Fz+B6uX6INR6jAHttdWA5B9eIGf4I9rjTLd7nYeTXyCkEgfVFWOD6N1j+w0VYvrP3gZ9j61WtR4AZFYyvc4iIiIiIpOUxigd6AZ4C9sZSdk7OukBNpB9wuPN5IfBTYAeKb/OVsTQQfkPZt8aMt1FEv7HAmpUVU0Rq7ER03s3b8ljWi2q8RHRa4agGtHVuzoBqsCfXH/gUa+QxqelYK9hfTKNAUrbTCS4Qw97A7vDNA57BUqAMB3bFLvjz4J8k98ZaMu4MDV8RC7qvB3wzhWVdj9ViccUF0uOeAIjL2S4iIiIiEmc6liP8K8COWHDXr5X3MnAbdr0ulduAINf9O9h/i6dKTLMPcDGWc913Rcy4ce1FLSizfCKSj1ew9Lk67+ZnsxTmcVlM/8Ux/XVuTpkC7MmdBoyk+kcqzsMucKQ2tie+QdnpwG7AJ97nbiwH1v7ATsCpWRcuhl+D/bvYyfFsYBKwFfAjZ7wDgDuIv+gt1++AgymsER/3lMXgmP4PVFkGEREREWlNi4EbvZek5+ve+/NYBa+4tpQAhgB/xNoXc93qTR/lQaxNMtdESteMFZH86bybr7jsCuWaTHyAPaqi6ER0bk6d0jskdwtwYQrzuZXoR0E2wWol34nVBn4TuAmYQPR+a8ce1/kj8BaWugasNvYVXr93sRNmqUYTVgNOwBqteB27czkROIfC3E1ROoHvYIHpu71+uwM3YBdx/8HuiOahF3A+0BYxrBu7gHw91N9fhy0IanzUmlsb5JvYhet1wI+Bv4XG/XkKy3sdax/ANTxm3HUj+s0g/tFRERERERGpve28919RPLi+N5ZqIBxc9xtCjXMz9v91Gpaj/RosL7uIiBS3cxXTLsbadpwVM/wudG6WBjcFC9r6r3IbfWwDjsWCqt3e+5LQvB7EahX4zsUaUHXH+RUWJO2OeM3FAsZRDsW+mN3A596y3g9Nfw2Wl9y1ExbsneOM9wQWBA4v/+Qyt0XYJG/68QmnPzqiLP7rtzHTrOaMs2vC5VbrTW/5r0UM24ae67JiCsscBnzgzPO+mPEejFh+0v1TD3bC1uG0vAtSh8Zj2+aRvAuCPVXSjZ0rRZrZpdixXu0N/dO8+cSlRxOR9IwkuCaKq6BQzGhv2qvTLFQDWAZb71tKjdhk+hEcL1F5ctP0rLecuP+Bq2KVZKL+K3Vh11/liqrQ1OwOwbbVszktv9Nb/sScll8rE7H17JdzOWptI4LvY1rfr+O9+ZWqRCnZu4f4WFWx1yKCp5PK0Yrn5kqdQfHrsOeI2R+qwV5/zgPOBGZitQf6YT+WZznjbEVhAHAWMD80n5Owu1gfYAFx97GQ/lge8rAzsT/znVjgdFWsVvxKwDcIcjfti+XrG+RMewyWosSt5b1xqNy+ZSL6ZW0ZbJtEeQD7cYnyFkEKnx1SLlO5/BrsL0QMeyWiX5I/c2GfYj+0n3mft6ZnQ6+7Y8ei60zgghSWLyIiIiIi6fH/U4T/KwzF/rO9jKXLDJuB/Res5KZPd8WlExFpXdMTTDMTayfjugqm0bk5Qwqw15cNgB943UcC/8Zqr8/D8oa7d8O/D4zxun8JrI3VLHBdjeVy2h/YEvifM2xHCoPhG2G1zcEuonbHgqy+67Ac4L6R2J0d35exWvXhFCsvACOwoPwrWM3+K6m90yis9e/7FLsxENfwAwQN2eYVYPdzsM+NGNY3ol9aOf2fxmq4PIydKyYCf8WC6Ddj6X58z2IX5HH57UVEREREJD/+f7vzgf2wVKJ/wv47HEPP/xULsSelRwPX16iMIiKtaHKF4z+MxQ9vSr8okpQeD8jOFArTwqyApXEp5i6swZmp3vhhx1FY8/xI7KLINxlYxeu+lp55lfbCcqH7xmE1FQAeJWi5+HTia3Q/RZDD3X/E0K0d7+Zz6gLGEp3aJImpwHJYoP69Cqbrj9W0jjren8NyzBezAnYDoxtLU9OF1QApFpRP0+bA0tj6h2uxL0NhTv0ZwOMZlGEoVttlINb46RLsonsWVss9Lt9XoxmKPXnxNmopPWxlrHX5T7CbL3laDsv//xpqJFqa2zgs7ddL2BNpSY3Gnkp7isKb5yKSvn5YCj+A27A2gCoxALtu/ZD4xiSbUW9ge+rjOqOW2rH/fwD/xbZDVsZiTyYX04XVivwQ+4+0qPjo4vD/M07HUqXWWgdWiS6v5adpAPZUfR/sO7IQ+587H3uqegjWVlq4gmEzWxqLCwDcQTqxvNWA1YFnKN4ug2TPv1ZfQHQlSt/nWKzi41oUqkWNAUYRfx22JXZ+6qHSCz7JzmCCi6vlsQB9WDi1ylYUBtjnON1RwfxwIGqoM9/NnP6PFinnRcCfve427EfcDbDPcLpfJr3guj/v5bAA8l0VTHcQ0T9Aj1E8nUl/7Afcv1HSBnzBGT4Ly4/+LLbN5pCN1bAf1Mn0bNT0R6HPl5L+n7FRwJrYBU0ntl0WYif394AXaZ4g59pYgP15VFMnbCcswD6DnsdhrW2BBdifwoIXIs3qu1iA/X3g71XMZx/sov0eWitgJ5KHYQQB9pup/PpwBHaN/w75/97W0lJYgP0DWmu9exP8B7wP+0OflYOwAPsl3nIHYAH0ediTslO95bdS0DJN22D/JWaRzzHcD/tv/lFOy6/WAGAX7P/2iIjhfn77z7AA+z9prRtAowgC7P8gnVQfX8MC7PdiQXbJj3+t7sen1sSOc79txA+xuItuhGRvP+z7FncdNpaYALtkp9JGTjcNjf9gGa9wHvUXnenPiVjGuNAy/PzZ24b671SknMND44YPuIucYWnfOU/SyGkbdhIKN0AwCwvWR+mFPS3wWcR0ca9ZWBqa/pWsUJnuJ3pbb4NdAPtluCLl5X4Nq0Hkz38mdiHzO6ytgP8RNIj7IpZqp9GpkdN4auRUpPbUyKlI41Ejp8mokdPsGzk9n+KNnEp11MhpchOwmvfl/O9egBo5VSOnzUfX6vUjcSOnqsFeP8Y43fdid59rZWzoc7FaC9OwWg5+IDk8bb1ZgehGVc8kuobIilh6nS0rXE4nlgt/P6xx2jRrCPo52DucfkOAywl+XG8HjkhpeR1YzZZDnH73Ya1TfxIadyBwGHAKdid9L6x2zIKUyiIiIiIiIiLNZzBWSWyPCqbpk01RRESqo0ZO68eKTvdaNV72gNDnUrXt3fQ1C2PHqg+jI/rNAf4Y0X9Z7PH5SoPr4eU9TPBocBr8R9/8i4mlsMYs/HX7A3bXOa2g9qUUBtc/BvakZ3AdbFueg22zz/5fe/cdJkldJnD8u4HNgV2SgCxLZkFAXEBAxOOOJOqJYvZUFEXAzCkgIhxBUI8HDCAmBEVUFBQDhwoKIhJVggqCKFE4MhvZZcPcH2/VdU1NVeee7pn+fp6nn66u+lXVW109Mz1v/er9Aa+n+L2VJEmSJHXX+sT/kd0ej28t4n/vRpLrWdXqVPfKMUrqIybYe0c2ebk+0UO5lqlt2vdduddza7TP9nC/o00xdMqcgnnfI+pYZY0BLga2bMM+pxGDFLXrQkl6EWMWUY/uKmAPIrn9JuBI2jfg6muAg3Pzvs3g2vpF7gCOTqbfQwyIKUmSJEnqvpnEuBAPA38j7rju1t3oU4hBSndsYRtFNZB76Rgl9RkT7L3j77nXH6nRfh7Rs/iQNuz7L7nXr6nRPtvDPb9ur1m3YN75BfMOo3qv86VUkthLqD2oyDTgh7Rn8IO0B/s2RP3r+URtv/nARW3YftbRBfOKBtwtkg4KOo729uCXJEmSJDXvdAbX2t6W+P+tGzmhM4AdWlh/NTGYa17ZMY4raCtJbWWCvXPy9e1r3Z6UT7B/lOLe1xA9mdPE6mUNxlXkAQbXI59PeU/uTakkjQeI2ty9bGbu9f8SJVyyxgMfL1h3ATGQ7PZEWZZ0vUuBGUSd/G8SNemLzCP+yLcq7cG+HnF3wdnE4ET5Ow9aNZXKyORZ29W5/kIqFx6mtyUiSZIkSVJqc6JD3OHAh4kxwOq5e/jAgnnzKO6Q1kkvpPWxw+6g+A7usmPcpMX9SVJNJtg7J1/ipVbJl38yOFk9GbgCeEmu3XbANcnzWQxOjNcatHZy7nWa9B8APpZbVtSTGaKnd+p84A+55dnPVC8MQJKvzfYThg7iuh9Dv5T8mhh49jji1rLVwE3JshcBi4lSLQcTf7R/UbL/Q4DNmog7K5vAP50YZX1Zi9ssslbJ/DcTJWlqmUvlM9XrpYMkSZIkaSRYEziBKHvyN+JO6S8RY3F9D7gf+EGNbZSN19WuUqP1OrwN2zi3ZH7ZMfb6uHGSRgET7J3xQoYmu+fXsd4xuddbEsn0m4HvA78jSoO8ALiV6F2dGkf0cE7NLdh+/spttv23iaRy6l3Au3PtX0wlwf4UcFTBPjbITM+h+0n2/J0D1xa0+bfc6+uBlwOP5+bfmDxvxeCBYe9P2p9VsO3xRJK+FecRcZ9M+YWPdni6ZP4E4Eqil3+1wWRemzw/xNC7BCRJkiRJjXk/cC/wX0Tv9SJjgP2T6Uklbb5RMO9qBo8FNxz2bHH9+yhPsJcd4wMt7lOSajLB3j5jiRGwjwF+VLD8TOAU4PWU9xS+gUiiZut7jwV2StbbnfjjeRfR6zodqHMb4L8ZXA7l5cA7gI2JP7J7E3+Us44lksvpH+E3A5dnlp8NXEAk208kkqzTgTuBvRj8x3iX5Pj2zcybSSTuX8bw33qWyl+tvr6gzbaZ6ZVEr/Siq9xpgn0scRElawD4APD1gvVeQ+27C6q5lqhpfjxDe9+30yLgnpJlE4FTiZ7pRbfeTQU+mEyfCaxqe3SSJEmS1B/WJEqTfjGZrlfZ3dMnA6cRncgWEyVn39BKgE3auIV1VwJvI/5vLdIrxyhJasE44Eki0Vrr8cqSbaReRVyZza+3APgEg3tPA9xSZV+XEOVkqsWzd2ZbY4habkX7f4y4FS2/f0raZx/fqnHM9bg+2db7Gljn45kYVlM8wMkfMm1+VmN7jyTt3l+yfBJRUiZ//K1eqR8uH6G+z/AVDL4wcUYy/xZau5jQbXsTx3FKtwPpQe8j3psbuh0I8CYilo92OxCpw75OfNa/1OJ2Tkm2s3+thpJaNofK96V1mlh/82Td77UzqBFgber7Lj7aTKLyeXlBh/d1VrKfXTu8n371TuL9va0N21oL+CP1/V+Wf6wG1qix/Vrjw3XS4zR3XCuA1zWwn24eYye8iMp70a5jO4768lPqPL+r947PUv172O2U/J4ayYmwXrOK8p7pjfpp8lgH2JHoPXwX8A+Ka6TtWMc26/0lPAB8LnnMTrY9hfiiUO3Wqrl1bn+4PZWZXkRxz+oVmelapU1uAv6d8vd8GZH0+3lu/m5EuZ9edxZxlb/WF++9iTJF5wB/IRLzC4G3MPx1/CRJkiRpNJgC/ArYocn1xwDTKC//CYPvmB9uVxB3zjdiAfB2Yjy1enXzGCX1IRPsve1x4Jdd3P9TxB/3kSw7COzCkjYPEfXlofx2s9StRIJ9+yptfpG0y5aReV6N7faKFcBBRKmgascI8fvjA5nX7yDKB/WyMcSAw+sRX14nETXmlwMPM/p6OoxUnidJkiT1ozNoPrkO0YO97P/eXnAC0WN6ep3trwPeStwxL0k9yySFRpIFwAyil/iKGm1TY4n64BBXsRcXtJlAZfDO5ygffRwiqTw5ma6WjJ/I4AFeVxBxjxRpz4dGrCaOsdfqr48hztt4okRQtd97q4nPTK3PQT9ag0h0L6EzYwE0c56WUzxegjRaTCJ+9h5i8DgrjUr/Jj2LdxlJnZb97vkgjdVOzq6/kviZ7Rfpd89+O26oJBrvBtbv4H7SvylL6b3v66NB+l25kbKhNf4AABklSURBVP9V87K/P5q1mvi+3svGEe9VtTEBVxHf8/3eEsZRKdW7gPaMp5jmQfx+2H1+V+8d6bko+z4ylZKfPxPsGkn+SJRmOQm4sM51JhM11tPa6/MZmmTfmMqdAn+iem23DYFfJ9P7EyO6F9kT+Frm9WXAkfWF3HUzgfOIGutpDcF6e1EsJ3q1/6YDcTVqMjFg7Xso/qK6gijlcwXxy/MwKr32zyHKJKnircRAu7fR3sGCWjlPnwXObWMsUq/5FPE36TvEYOPN+jBwOPBu4LdtiEtSuQ2Aq5Lp3RhcrrAe6ffS/yFK8PWLWcQ4L1cD7+1uKMNqIlHPFaJX7986uK/jie9zbyTutlV7HQScSpR2/fcmt3EScX5acSrwzRa3MRzGEd/ptyZ+/tMx5/4X+DMx/psqtgV+mExvTXtK4BwBfIj4/+qqGm3VWX5X7x0fI85D2fewnwJbDmtEUgc0M8gpRJmbdOCBf62jzUtrbO+ppN3rq7TJDkLSjgHqhssU4GYi5muJHjVjiNHa/0l9A9AspXZ5mU7bg+g1VhTfKuICwka5daYRX+QGiMStBuvEIKfNnqd0QOlPtDEWqRc5yKk08jjIaXMc5NRBTke6dgxyeifNDQCaPu6l/tIrGlkc5HR087t672h6kNN23FYi9bpsT/Ky3gSfpFL24lyq34qffmnarkqbfNmKu6u07SVfBXYikp6vJsrgDAAXEFfpTqF2qZvJRA/wbnkZcCXw/IJlfwB2Ib4AP5hbtphKr6FJVbY/nRgA2DuAWtPKefpHMj2Zcp4nSZIkjSQbt7DuSqJTVK0xxSRJHWCCXf3gEuCBZPptFJehuI64JQ9gC+LW3HVLtpcO5Dmvyj7Xy72+uXaYXbcjcdsoxC0xT+aWLyEuRGwN/KDGtnYnrrIPt7WAi6jU1E8tJUr0vJhI3haZRhwbFF9EmELcDrSQeG/+RPXPgMq1ep42T6bLaqJ5niRJkjTSNFs7fSXwZuIOZElSF5hgVz9YQYxWDtGjtawW+olUbsPfhaj5fkBBuzTBvnXBstQumeknaW9ZjU45KHn+PZWa9EXuJ2pw70n1OpF7tSmuRhzH0IsbvyFK1pxJ+YBOk4iLBrOT1w8XtHkrg2+f25a4eDOuoK2qa/U8pQPGPVTQ5lA8T5IkSRp5rmhinQXE/3EXtzkWSVIDTLCrX3yLqOEOcCzlPVrfRwxqsJIY0PSnwPNybdIE+xaUJ+2yg9OcS3nCsJekddOvrLP9b4GdKU+y52tnd9pkIrmaeo44l3sBf6+y3kZEb4+03tn5RI3KvJ0K5s0Dtmo00D43hfadpwsK2u1eMM/zJEmSpF53Ao2VeLkOeCHwk86EI0mqlwl29YvVwLuIkhKTgB9RXmf9dGA+MfDppcDjueVpgn0isEnB+q8AdkimFwOfazrq4TUheX6mgXUWECPVF2n2FsdmzSeStxC97HcjzmW1EdYPAm5N1k2dQVxgyVtRso3ljYXZ93ajfedpdUFbz5M0VPrP+sKuRiFJkqr5G7Af1TudQNxp/VpgD+C+DsckSarD+G4HIA2jvxK1xS8kerP+nPgCU5RwuB3Yu2Q7/ySSx1OJXuz3ZJbNYHDv5+OBR1qKevikcVYrfVPk9yXzq5WP6YT0osZtwD4MvTCSNYu48PH23PzLiJrdRX5D3OGQdTW1vwBrsJ2T506dp18QNSizrsbzpP72JeJnbiSUK5MkqZ9dD2xJ3F28NfF9eID4n/UR4C/AY12LTpJUyB7s6jffIZLeALsSg49uX9681H3J86aZeeOAbwJzk9c/YeT0Xge4Jnk+kLhQUK+i3yPPAT9uOaLGbJLs90CqJ21fC9zB0KRtOsBmmR8CpyXbXkwM0vmGZoPtY1vQ2fN0IZ4nKW8RcVG56K4PSZLUW1YTd29+DzgH+DLxf+xVmFyXpJ5kgl396GTgpGR6S+BG4APAGg1s477kebPkeU1iIMUDk9e/JXrRVit70Wt+RHxhWxP4fAPrvbRg3qeBp9sRVANmEL3m7ytZvgnR8/kShtbVHwAOAe6usv1VRP3+dZN9vYnqCWIVm0lnz9NKPE+SJEmSJGmYmGBXvzoBeCewjKjJ/gUi6fduovRLLfclz9sCRxC36r06mXcp8HKip+1I8gxxUWApcDBRUqDWRYfZwNG5eT8HPtXu4OqwiLijYMPc/NlEje87gQMK1nsGeD3RQ6ReI+nCSa/xPEmSJEmSpFHDGuzqZ+cDNwHnAbsAGwNfA84myqX8CngIeJRIOk8CpgMbAPOSbeybPCDKUXyS6P09UhN7vwb+BfgBcDhRRudYoq51/pjmEL2MN8rM+ybwXqIEyHC7BZhMnLcTiHN2APAfwLSC9s8Rt1ueBDw5TDEq7hg5GM+TJEmSJEkaBUywaySZmDyvT/Qcb5dDiCT5IcA2wARigNOyQU7zniDqjV9IlFjZpo2xdcNS4HXAoUSP4cuJ47oleV5FlPHYjXivIAac/AoxmOTmwxvu/7uDqKm/M+W9nJcTsV5OXDR4hihDki9FoqHWT54n09rP3814nqR6zUqe16S9f/ckdc76mektiZJljZiTPM+kv37u09930+mv456Ymd6MznbSmZ08b0rcUaj2Su/OnEh/fYY1PDbLTG9Le35XpH+f5uBnttvWSZ43xnPRbWsnz2XfwyaVrTimI+FInfEE8cVwKZGA64TxRFmU8cSgpfkySgPEoDMDVC5QPdWhWHrFuOQxhsG/MwaIZPtqemvgvPHJYwwRY/pYlTzUnInAFGAh7XkfPU9SbVOIn737aWzwaUndM5b4pwya+9kdQySblzHyyg22Ij3uFfRf8je9uHAnne1MMIVIDCwkxqxRe00gSo0uoTt382p0G0fl78mTtKfc8+TksYj43avu8Vz0jsnE38rniN/neTOIn0dJDVqDSOrPZnA98nlUEoIzC9aTJEmSmrEVkQztJ2sT36t/1u1ARrGziPd4124HIqknHEf8TnhltwMRpxDnYv9uB6LmWSJGqm4FxT3Un85MrwksGJ5wJEmSNMrd1e0AJEmSVL923FYi9aPsLbvTuxaFWnECMZiresOfuh2AJEmSJElSo0ywS83J1oCf3LUo1IrPA68lamtt3+VY+tlbiBr+W3Y7EEmSJEmSpEaZYFe/2ge4FHiMSJbfBXySKiMC52QH9VyjtJV62TPE4BQPALcBf+1uOH1nQ6L80oXAz4mBHCVJUn9aTny/7qeBXSWpm9Lft0UDOUqSVNV44FwqA5TmH9cC0+rYztTMOrt0JFINp5cBq4jzeXfyWp3xNmLk+9XAMuq/qCVJkka3lwObdjuIUcxBTiVlrQm8Acdm7AUOcippxPkS5cn19PGtOrazdqb9dh2JVN3wXSrndSFwdHfDGVW+SJTjGSAuZpzW3XAkSZL6igl2SepNJtgljSjbEb1mayXYVwNb1NjWJpn2m3UoXnXPd6l8VlYR5WP+s6sRjTzjiST6Q8BK4v1cAZzazaAkSZL6lAl2SepNJtgljSjHUTu5nj4Oq7GtPTNtp3coXnXfBVR6XacJ9weJz9JGXYyrV70QOJsoAZN9z54GTuxiXJIkSf3OBLsk9SYT7KOAg5yqn2zQQNt1ayxPe60/DSxqLhyNAG8DJgBvAe4k/ug9HzgJuJ9Ivv8VOBOY36UYu2lf4BvEe7ES+CNwBDCLSK5fS9SznwWc0KUYJUmSFN/Vss+SpN7g72dJI8qptK8H+wVJu991Klj1rP8C7mNwD+3VyWMV0cP9OuDrwPuIXt0j3R7AR4nP/R+AB6gcc7a00mrgHuC93QlTkiRJJbYGjgfGdTsQSdIgc4k8w6TuhiFJ9Xk/9SXXVwAbV9nOBOCxpO2xHYxXve8I4iLLMooTzqsy858lEtO/Bc4lku87Dn/IpfYEjiKS6DcCDwPLqdShT48le3wDxB0clwNvHP6QJUmSJEmSumtMtwOQhtH2wG11tPtvItFY5t3A15LpbYE7WoxLo8NGRNJ8X2AecfV5IFmW/V07kJs/hriosyTzvCh5XgIsTl4vBhYkj6eT5yeAR4GJwFrAbKIcyyxgJjCDGCNgOjAVmAJMS+ZPJpLks4kBSYviysacWkL0Yv8F8bPibWySJEmSJElSn7iX6r3Xz6L6bZPTMtu4tKORajR4BfGZuh1YyNCSMrXupkh7wa/MPbI9yrO95FdVaV/v/tJ2K4kk/g3Ap4kyMZIkSZIkScqwB7v6zXuArybTy4HziV69DwEXE4M0VvMV4FAiYTmf+nrES1nrE8nqHYFtiN7uzyN6vI9naO/xTkiT6c8SveYfIgZx/TPRO/1a4oKAJEmSJEmSqjDBrn4zDrgJeFHy+jLg1UTCvJajgM8k08cCp7U9OqliCrAhsA6wLrA2UQZmVvK8JlHeZTLxuV5IlIx5high8xTwJDFeQPp4BHhuOA9CkiRJkiRJ0ugyh6hbnZbFuAZ4fpX2U4EvZtr/GC9OSZIkSZIkSZL61PbA/VSS5kuBbwGvA3YGdgAOAM4gev2m7S4BJnQhXkmSJEmSJEmSesZ6wA+pPfDjALAE+DjVB0CVJEmSJEmSJKmv7Ap8HXiYoYn1O4GTiLIykiRJkiRJkvT/rCMtDTaT6Nm+gki4L+9uOJIkSZIkSZIkSZIkSZIkSdIoYg92KYwF3ga8nqiz/jQxmOllwHewJ7skSZIkSZIkSUNMAH5J1Fw/KTN/BnA2cAswrQtxSZIkSZIkSZLU0z5KZVDTdXLLxgD3AIcNd1CSJEmSJEmSetvYbgcg9YB9M9Mvzi0bAP4BTB++cCRJkiRJkiRJGhm+T6UH+2LgaGBismwdYBGwdXdCkyRJkiRJkiSpd+1HJcGePv4OHAT8FDi9e6FJkiRJkiRJktTbjmFokn0AWAps0cW4pNFod+Ao4FXdDkSSJEmSJElSa6YDNwKfBS5naJL9GWCHrkWnev0CWNXC48zhD3nY3Uvz788xbYphCrCAys/XVm3ariRJkiRJ0rAb3+0ApB5wDnA70aMWYH/gDGBe8nomcBbw0uEPTQ2YRmXg5lXAw8DjwPOBdTPtbknarQOsD4xJ5k8dnjC76kBgT+BU4v1K3QA8mHk9CZgFbA/MSOZNpD2m5Pa9HnBXm7YtSZIkSZIkaRitA6wG5uTmjwc+TaWX7Uq8INXr/kicq4uJxHnqlQy+I2HTzLLNgGuS+RcMT5g94asM/mxPKGk3EfhW0u6UguUvBT7UxP6PBe4EvkzlAkenNRurJEmSJEmSpBJziOThBiXLH0yWL2f4EoFqzp3AU1R6XKeqJdgBNiEuslzc6QB7yHFU3o9na7Rdm7gj4LO5+esQPx+Xtj269htJsUqSJEmSpBFkbO0m0qj2AHAHcHDJ8sXJ80+IZKR61yTgMmBhg+vdC/yB/jq/Kxpo+wRwPNHrPTUOuJAov9PrRlKskiRJkiRphLHkhQRvBn5G9OQ9G3gumf9OYGuiPvQHuxOaGvB+4O4m1z0M+GfB/KnAjkSv94eAPxF13YvMIeqbX0J8ljYCdgeWEjXOy9aDKNEyj6gVPxH4M3A/5Un/icC+RK/9e4jP6U7A1Umc7bINsDfwqcy8NYDzgH2S1zOplORZROWiVC1Tgf2A64FHcstaeS+zGo21kfNd7znYgqhlfwlxEWi/5DiuIsrzpLZN9jubuEh0HfBonceZNSWJ6zbi4tGaRHmcicBNxEXFMrViGAM8r2TdZ5J95efVukNCkiRJkiRJo8AUopTIh4EjkudjgJfTvsEd1R21SsQUmQJ8gyiNkl13BXAi0Ssaolf0UcCNRJmZAWAX4MrceguJwXPzJgCnERd1BnKPfyaxZ72EqFv+VNLm/cTFoXSdpUQSuZajqa9EzGeIJGnWjwtiTR/H19jveOAAokf54mSdNPnd6ntZpN5Y6z3fUN85mAscTlw8GCCS2q8CFmTanZpsb1cqd1BkH6sprntfZDzxnlxAXDgYAN4DfL/gmH7C4EFmG4lhT+KiQL7dCuA/CuafUWf8kiRJkiRJknpUown2mUTP5QHgduCTxECfSzPbODJp+xqKk+MDVBLI2YR59mLNNCoDsz5D3EmxDXAosCSzXtp7/MiS/eQfu9fxntSTYJ9HlIfJJ9hfDXwzs/4twCHJY8ca+/1GQbxpgr2V97JMPbE2cr7rPQcPFMx7Nvf6l0Tv9ieS1zcBGxO9yH+XaVfrPYVIrqcXJep5XJtZt9EYZlO5cJA+NkyWfSF5/QiwF4MvTEiSJEmSJEkagRpNsH82aXdrbv5HMttYSKUX8BQqCcq0N++rkmUvJgbITZf9S2Z7p2fm/2tuX/tR6Sm8GtgDWAvYgUgCZ4/ng8CHgJuJxOekGscHgxPsaWI5ffwZeJhKwjafYIfoyZyu28jAoZOBlxEJ8nyCHZp/L6upFWsj57vec/C8ZF62za3JsV5CvMfvJO5eyCfxAd6RmX9ynce5ebLd7D4/SpTXmQtckVt2YLJeMzFsADyWWX4GsFnyPj1LJOglSZIkSZIkjQKNJNg3BJYl7b5C1M5OH/vltrN3Zr3rMvPzyfJrMsvekczbhEgep72Gi/wos96NmfnnZOZfWeVYqskn2B/LPJ7IxNbuBHsqW1Jln9yyRt/LWqrF2uz5ruccrJdbf4+CNp/ILH9XZv42mfnn1zzCinMz630st2wyUSs+Xf6zFmN4Y2b5aiqlaT7SQLySJEmSJI14DnIqSRW7UCk9cmjyKLMTleTqssz8p3LtbiIGmYTooQ2wM5Xfv38t2f5XqfQy3pEYsHMFUT4mdVGV+Oq1jBhcNWsMsBtweRu2X2RJlWWNvpetaPZ813MOsm0eZnBZltQXiB7fS4FvJ/N2IMaASOUHDq1maW6fWc8SFwZOT15v0WIMFxFljV5NfF6mEQO8fq6BeCVJkiRJGvFMsEtSxZaZ6Q8QtbTL3FznNpcXzNsmMz2mZL0bMtNrAFsRJUCyVtUZQ6MGiJ7k51N/T/HhUPRetqId57uec1DWZhFRXmUc8AairMyudWyvWb/MTM9tQwyHEyV/0gT8bcRnR5IkSZKkvmGCXZIq5mam72ZwQrKd1s9Mlw3W+TTRqzjtqT29Q7FU8x2i1/xoNTcz3cnzXc0uwHnERZdHgXcTg9/+sQP7yvZqzw5u22wMjxBlZ3ZKXh9O3HlxRzuClSRJkiRpJBjb7QAkqYcszky/oEq7MQxOzjbqvsz0JlXaPZeZvruF/TXrRmKgTIiSIltWaTsSDdf5LrMXUVd+G+K9nkfUUV9WbaUWrJGZTj9PrcRwMJXkOsAE4Bv43UKSJEmS1Ef8J1iSKv6emf4QMTBkkSOTts32Kv9LZno+MKegzUQqpTceBZ5scl/tMAG4LHnkjaS/I/lYh+t8l/kylTsY3kXctdBJG2em72oxho2BzxOJ+EOIgU4BXszg+u2SJEmSJI1qIykxIknNyCdNq5XGypa2mAOcwtAa6QcBpxEDQi6qY/9Fv2evBxYm02OAtxa02SczfUkd+2nEGrWbDHIc0YM9rUOerbM9t4n9jy2ZbmS9elWLtRPnu17TgE1Llq2TmW70XFXzpsz0eS3EMJaozz8DOJnotX52ZvnJwGatBCpJkiRJkiSpN/wnkWRNH3vXaH9Drv01wHuBY4CriAErFzE4MfmPTPvdc9v7SmbZCZn5H8jMX8TgEiVrAL9Jlj1KpSc7wHcz651Z41jKZGNaTXmZmvWJATDTtu9M5m+bmfdcsv52wM+AtevY/68y678pt6yZ97KaWrE2c77rOQdbZdqsBGbnlk9O4knbXEBcxDgY+Gtm/t+AFwKvqeNYv5jbXvZiwTxgQbIsvROh2RiOSubfRuWC1TSi9FG6znWUjy8gSZIkSZIkqce9AHgH8CCDE6i/Bw4ENi9Z7yXAktw62ccy4N+StlOBt+eWXwRsTSTJX0sMBJkuux3YlUh8jk3apsvuJRK7rwD+J5n3JJULAlOAA4DHM+s8AOyWxFHve3IEkTDOxnwPcDGRYL2IGOzzNiL5nm23USaWhbllK4GbqAzKWmQW8EpigM10vV8Ryd8ZNP9eVlMr1kbOd73nYHPga7ntfAZ4PoN74d9Rss+HCuZdWeM4YXCCfYCoqX4UUeImfe/+wuBSMY3EcBVwKHHRYQD4YGY744ATc+1/yOir2y9JkiRJkiT1hUcpT5oOED3Ey7wAuKVgnSuInrypo0u2/QSwf5V9b5jZxiEMvQiwDLicSkIbIplZtr3v1vF+QCSDq70n1R535bZ1ZGbZauBqhvbSzru2yvYvKJnfyHtZplas9Z7ves7B2CTmsnZbZ7a3K/BwZtli4ByiN/glmfn3EYOQ1pJNsC9g8H6XJDHOyK3TSAynFhxP+v7vU3K8j9YRtyRJkiRJkqRRaBawJ9FDeVaH97UusBewI+2tu91Jc4ke9ut1OY56zKV2rMN5vlNTiIFBdycGk82aD+xM/Z+HbIL9rUSP+b2BF1F97IF2xiBJkiRJkiRJ0oiTT7BLkiRJkqQOG1u7iSRJkiRJkiRJyjPBLknS6DAnMz1cJW4kSZIkSZIkSRqxphG11p+hUiLmFuAlRG1/SZIkSZIkSZJU4FNUEuv5x++7GJckSZIkSaPe/wECVwSXe8CB6QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 347,
       "width": 748
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from music21 import *\n",
    "\n",
    "luca = corpus.parse('luca/gloria')\n",
    "luca.measures(1, 7).show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For now, let's look at the top part alone:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 432,
       "width": 753
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "cantus = luca.parts['Cantus']\n",
    "cantus.measures(1, 20).show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us figure out the average pitch height in the excerpt by recursing through all the `Note` objects and finding getting the average of the `.ps` value, where Middle C = 60.  (Similar to the `.midi` value)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "67.41100323624596"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "totalNotes = 0\n",
    "totalHeight = 0\n",
    "for n in cantus.recurse().getElementsByClass('Note'):\n",
    "    totalNotes += 1\n",
    "    totalHeight += n.pitch.ps\n",
    "averageHeight = totalHeight/totalNotes\n",
    "averageHeight"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can figure out what approximately what note that is by creating a new `Note` object:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 49,
       "width": 131
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "averageNote = note.Note()\n",
    "averageNote.pitch.ps = round(averageHeight)\n",
    "averageNote.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(It's possible to get a more exact average pitch, if we care about such things, when we get to microtones later...)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'G'"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "exactAveragePitch = pitch.Pitch(ps=averageHeight)\n",
    "exactAveragePitch.step"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<accidental half-sharp>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "exactAveragePitch.accidental"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-9c)"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "exactAveragePitch.microtone"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Python has some even easier ways to get the average pitch, using the mean or the median:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "67.41100323624596"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import statistics\n",
    "statistics.mean([p.ps for p in cantus.pitches])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "67.0"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "statistics.median([p.ps for p in cantus.pitches])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Medians are usually more useful than means in doing statistical analysis, so we'll use medians for our remaining analyses:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "medianHeight = statistics.median([p.ps for p in cantus.pitches])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Okay, now let us get all the intervals in a piece.  We'll do this in an inefficient but easy to follow manner first and then later we can talk about adding efficiencies.  We'll recurse through the `Part` object and get the `.next()` :class:`~music21.note.Note` object each time and create an interval for it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "allIntervals = []\n",
    "for n in cantus.recurse().getElementsByClass('Note'):\n",
    "    nextNote = n.next('Note')\n",
    "    if nextNote is None: # last note of the piece\n",
    "        continue\n",
    "    thisInterval = interval.Interval(n, nextNote)\n",
    "    allIntervals.append(thisInterval)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's look at some of the intervals and also make sure that the length of our list makes sense:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<music21.interval.Interval M2>,\n",
       " <music21.interval.Interval M-2>,\n",
       " <music21.interval.Interval m-3>,\n",
       " <music21.interval.Interval M-3>,\n",
       " <music21.interval.Interval P1>]"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "allIntervals[0:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "308"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(allIntervals)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "309"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(cantus.recurse().getElementsByClass('Note'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Yes, it makes sense that if there are 309 notes there would be 308 intervals.  So we're on the right track.\n",
    "\n",
    "Let's look at that first Interval object in a bit more detail to see some of the things that might be useful:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<music21.note.Note C>"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "firstInterval = allIntervals[0]\n",
    "firstInterval.noteStart"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<music21.note.Note D>"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "firstInterval.noteEnd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Direction.ASCENDING: 1>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "firstInterval.direction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We are only going to be interested in intervals of a third or larger, so let's review how to find generic interval size:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<music21.interval.GenericInterval 2>"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "firstInterval.generic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "firstInterval.generic.directed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-2"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "secondInterval = allIntervals[1]\n",
    "secondInterval.generic.directed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "secondInterval.generic.undirected"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to see whether gap-fill or regression to the mean is happening at any given moment, we need to only look at leaps up that after the leap are still below the mean or leaps down that finish above the mean.  For instance, if a line leaps up and is above the mean then both the gap-fill and the regression to the mean hypothesis would predict a downward motion for the next interval, so no knowledge would be gained.  But if the line leaps up and is below the mean then the gap-fill hypothesis would predict downward motion, but the regression to the mean hypothesis would predict upward motion for the next interval.  So motion like this is what we want to see.\n",
    "\n",
    "Let's define a function called `relevant()` that takes in an interval and says whether it is big enough to matter and whether the gap-fill and regression hypotheses predict different motions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "def relevant(thisInterval):\n",
    "    if thisInterval.generic.undirected < 3:\n",
    "        return False\n",
    "    noteEndPs = thisInterval.noteEnd.pitch.ps\n",
    "    if thisInterval.direction == interval.Direction.ASCENDING and noteEndPs < medianHeight:\n",
    "        return True\n",
    "    elif thisInterval.direction == interval.Direction.DESCENDING and noteEndPs > medianHeight:\n",
    "        return True\n",
    "    else:\n",
    "        return False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There won't be too many relevant intervals in the piece:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "22"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[relevant(i) for i in allIntervals].count(True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[False, False, True, False, False, False, False, False, False, False]"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[relevant(i) for i in allIntervals[0:10]]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The third interval is relevant.  Let's review what that interval is.  It's the C5 descending to A4, still above the average note G4.  Gap-fill predicts that the next note should be higher, regression predicts that it should be lower."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 172,
       "width": 748
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "cantus.measures(1, 3).show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this case, the regression to the mean hypothesis is correct and the gap-fill hypothesis is wrong.  But that's just one case, and these sorts of tests need to take in many data points.  So let us write a function that takes in a relevant interval and the following interval and says whether gap-fill or regression is correct.  We will return 1 if gap-fill is correct, 2 if regression is correct, or 0 if the next interval is the same as the current."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "def whichHypothesis(firstInterval, secondInterval):\n",
    "    if secondInterval.direction == interval.Direction.OBLIQUE:\n",
    "        return 0\n",
    "    elif secondInterval.direction != firstInterval.direction:\n",
    "        return 1\n",
    "    else:\n",
    "        return 2\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "whichHypothesis(allIntervals[2], allIntervals[3])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can run this analysis on the small dataset of 32 relevant intervals in the cantus part.  We will store our results in a three-element list containing the number of oblique intervals, the number that fit the gap-fill hypothesis, and the number which fit the regression hypothesis:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([6, 10, 6], 4)"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "obliqueGapRegression = [0, 0, 0]\n",
    "\n",
    "for i in range(len(allIntervals) - 1):\n",
    "    thisInterval = allIntervals[i]\n",
    "    nextInterval = allIntervals[i + 1]\n",
    "    if not relevant(thisInterval):\n",
    "        continue\n",
    "    hypothesis = whichHypothesis(thisInterval, nextInterval)\n",
    "    obliqueGapRegression[hypothesis] += 1\n",
    "    \n",
    "obliqueGapRegression, obliqueGapRegression[1] - obliqueGapRegression[2]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So for this small set of data, gap-fill is more predictive than regression.  Let's run it on the whole piece.  First we will need to redefine `relevant` to take the average pitch height as a parameter."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "def relevant2(thisInterval, medianHeight):\n",
    "    if thisInterval.generic.undirected < 3:\n",
    "        return False\n",
    "    noteEndPs = thisInterval.noteEnd.pitch.ps\n",
    "    if thisInterval.direction == interval.Direction.ASCENDING and noteEndPs < medianHeight:\n",
    "        return True\n",
    "    elif thisInterval.direction == interval.Direction.DESCENDING and noteEndPs > medianHeight:\n",
    "        return True\n",
    "    else:\n",
    "        return False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And let's define a function that computes hypothesisTotal for a single part."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "def onePartHypothesis(part):\n",
    "    obliqueGapRegression = [0, 0, 0]\n",
    "\n",
    "    medianHeight = statistics.median([p.ps for p in part.pitches])\n",
    "    allIntervals = []\n",
    "    for n in part.recurse().getElementsByClass('Note'):\n",
    "        nextNote = n.next('Note')\n",
    "        if nextNote is None: # last note of the piece\n",
    "            continue\n",
    "        thisInterval = interval.Interval(n, nextNote)\n",
    "        allIntervals.append(thisInterval)\n",
    "    \n",
    "    for i in range(len(allIntervals) - 1):\n",
    "        thisInterval = allIntervals[i]\n",
    "        nextInterval = allIntervals[i + 1]\n",
    "        if not relevant2(thisInterval, medianHeight):\n",
    "            continue\n",
    "        hypothesis = whichHypothesis(thisInterval, nextInterval)\n",
    "        obliqueGapRegression[hypothesis] += 1\n",
    "\n",
    "    return obliqueGapRegression"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When I refactor, I always make sure that everything is still working as before:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[6, 10, 6]"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "onePartHypothesis(cantus)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looks good! Now we're ready to go:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([7, 20, 28], -8)"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "obliqueGapRegression = [0, 0, 0]\n",
    "\n",
    "for p in luca.parts:\n",
    "    onePartTotals = onePartHypothesis(p)\n",
    "    obliqueGapRegression[0] += onePartTotals[0]\n",
    "    obliqueGapRegression[1] += onePartTotals[1]\n",
    "    obliqueGapRegression[2] += onePartTotals[2]\n",
    "    \n",
    "obliqueGapRegression, obliqueGapRegression[1] - obliqueGapRegression[2]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The lower two parts overwhelm the first part and it is looking like regression to the mean is ahead. But it's only one piece!  Let's see if there are other similar pieces in the corpus.  There's a collection of works from the 14th century, mostly Italian works: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<music21.metadata.bundles.MetadataBundle {103 entries}>"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "corpus.search('trecento')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's run 20 of them through this search and see how they work!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([27, 86, 84], 2)"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "obliqueGapRegression = [0, 0, 0]\n",
    "\n",
    "for trecentoPieceEntry in corpus.search('trecento')[:20]:\n",
    "    parsedPiece = trecentoPieceEntry.parse()\n",
    "    for p in parsedPiece.parts:\n",
    "        onePartTotals = onePartHypothesis(p)\n",
    "        obliqueGapRegression[0] += onePartTotals[0]\n",
    "        obliqueGapRegression[1] += onePartTotals[1]\n",
    "        obliqueGapRegression[2] += onePartTotals[2]\n",
    "    \n",
    "obliqueGapRegression, obliqueGapRegression[1] - obliqueGapRegression[2]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So it looks like neither the gap-fill hypothesis or the regression to the mean hypothesis are sufficient in themselves to explain melodic motion in this repertory.  In fact, a study of the complete encoded works of Palestrina (replace 'trecento' with 'palestrina' in the search and remove the limitation of only looking at the first 20, and wait half an hour) showed that there were 19,012 relevant instances, with 3817 followed by a unison, but 7751 exhibiting gap-fill behavior and only 7444 following regression to the mean, with a difference of 2.1%.  This shows that regression to the mean cannot explain all of the reversion after a leap behavior that is going on in this repertory.  I'm disappointed because I loved this article, but it'll come as a relief to most teachers of modal counterpoint."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Whew! There's a lot here in these two examples, and I hope that they point to the power of corpus analysis with `music21`, but we still have quite a lot to sort through, so we might as well continue by understanding how `music21` sorts objects in :ref:`Chapter 21: : Ordering and Sorting of Stream Elements <usersGuide_21_sorting>`."
   ]
  }
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